High, Good Fat Foods for Lactose Intolerant?

I think avocado is very good and so is peanut butter if there's no nut allergy problems. I wouldn't worry about cholesterol right now. It's a needed building block that her body needs to grow. That's why women of childbearing age can not take cholesterol lowering meds. (I have some serious doubts about the whole cholesterol debate anyway and I've a feeling 50 years from now they'll say messing with it is a bad idea.)

avocado and nuts. Also, a friend told me about chia seeds, which can be made into a jello-sort of thing. It's bland, but could likely be flavored with fruit. Check them out online. Coconut milk is also being used in many products, and may be worth checking out... just be wary of cholesterol. And fish is a great source of protiens, good fats, and omega fatty-acids.

avacado would be great right now as would yogurt (there is coconut yogurt and ice cream that is super yummy and lactose free!)

Avocado would be a good one to introduce right now. You can also start introducing various nut butters. You can buy peanut butter (obviously), almond and sunflower butter from the store, but you can also make your own nut butter at home if you have a food processor. I've never tried walnut butter but I know that walnuts are a good source of omega 3 fatty acids (super good for you!), so you may want to make a batch or maybe pulverize some to teeny-tiny bits and add them to her yogurt or cereal.

Try switching back to cow milk, but by lactose free cow milk! I am lactose intolerant and now buy lactose free milk and it goes down nice and smoothly and I have no more problems! Lactose free cow's milk comes in whole milk, 2%, 1%, and skim milk. It's great to drink milk again!

I cannot have dairy at all for a medical reason (complete intolerance to the protein, which as you know is not the same as lactose intolerance), and can tell you there are great fakes for almost every dairy product. The no soy part does make it especially tricky though, but there are still plenty of options.

-For cream, try Mimicreme...its made from cashews, comes in sweetened and not sweetened, so you can use it for homemade deserts calling for cream or for cream soups and sauces like alfredo. Really good stuff, and great on cobbler. It's also good to enrich non-dairy milks for breakfast cereals. Use like heavy cream. It's in vacuum sealed paper containers, shelf stable, keeps very well until opened. After opened you have 1 week to use it.
- For cheese, there is a Rice Vegan cheese which used to be made with soy, but recently went soy free according to the package. Really good melted. The cheddar tastes real melted, I'm considering making mac and cheese with it and the unsweetened mimicreme.
-For Ice Cream, there is Rice Dream, which I think is a bit too sweet, but a child likely would be quite pleased. There is a Coconut brand sold at health food stores as well. Its good, but is a bit hard in the freezer so must thaw a bit before serving. I tried coconut milk ice cream sandwiches which were amazing, but didn't check if they were soy free. These products were at Earth Fare, although Whole Foods would likely carry them as well.
-Try the Coconut Milk now for sale with the Almond and Soy Milks. It is really smooth with a bit more richness than Almond.

Try asking the staff at a store like Earth Fare for their recommendations. Lots of foods will be clearly labeled vegan and soy free, and they could tell you what is popular and good. Don't worry, you'll still be able to give her pizza (with cheese) and ice cream, it will just require a little experimentation.

Avocado.
ALso, take your daughter for NAET treatment to eliminate the allergy so as she gets older she can have foods that are made with milk/soy. Children don't grow out of allergies, they grow into them.. with different symptoms and a toll on the immune system so you are inviting in things like diabetes, lupus, asthma and other auto immune diseases. Once allergic (sensitive), always, unless you do something to change the energy of the body.

soy nut or seseamee nut butter (or peanut butter if no allergies), avacados,
we did rice milk because our kids are allergic to nuts. pretty brave to do almonds if you ask me. my son would of died. and beware that you can have almonds, but still be allergic to other nuts.

The lactose milk doesnt work? I loved the chocolate milk as a teenager cause milk made me sick to my stomach and run to the bathroom later. After kids i can tolerate it much better. Ice cream is still a good helper to clean you me out.

Try having her tested for the milk allergie soon.

Updated

i thought, what about goats' milk? i have heard its different enough for milk allergy suffers so they can tolerate it.

Also, get another peds doc. Find the one that best fits your family. I have been there, had a doc swear my oldest was having asmatha problems when i thought it was allergies cause it was post drip like me. A little zyrtec and poof the cough (and running nose) was gone in a few days.

See WestonPrice.com- they are great for that.
best, k

didnt read your other answers, but options include: almond butter, avocados, olive oil, fattier fish like salmon, you can also add healthy oils (like flaxseed) to foods that you make yourself- homemade baked goods are easy to add whatever you want into them, dark meat poultry... read all the labels of almond milk that are available and choose the one with the most fat grams.

casein has many addictive properties, these are added by the dairy industry. "Opiates hide inside casein, the main dairy protein. As casein molecules are digested, they break apart to release tiny opiate molecules, called casomorphins. One of these compounds has about one-tenth the opiate strength of morphine. The especially addicting power of cheese may be due to the fact that the process of cheese-making removes water,lactose and whey proteins so that casein is concentrated."
http://danmahony.com/breadinvestigation.htm

Good for you figuring that dairy causes phlegm, mucous and other ailments. It is important to make sure your daughter has good fats for brain development. Good fats, like mentioned below are nut butters (I suggest staying away from peanut though, it's not a nut and not as healthy). Raw almond butter is awesome. You can give it to her as she grows on celery (with chopped sulphur free apricots for iron or raisins but floss after) or with carrots. Tahini is great too b/c it's got calcium from the sesame seeds. Be careful not to give too many fats though as she'll become used to higher fat and could deal with overweight issues later on.
Cow's milk is for calves, you're on the right path. Your daughter will flourish! If you'd like ideas for alternatives, feel free to ask, I've been studying nutrition for 10 years or so and raising a very healthy little girl eating this way.