I, too, seem to have children that bugs love to taste. In fact, when summer arrives, I tend to carry around a Benedryl stick with me everywhere. For us, it seems to give the best results out of the Benedryl products (creme, gel, and spray). There are other sticks (like After bite), but I have tried them and Benedryl is the only one my children don't complain about stinging. I apply it several times throughout the day, and the bites go down within 2-3 days (depending on how much they scratched it before I got medicine on it). IF the itch still bothers them, I apply some creme additionally.
Martha W's right about Deet being the most affective ingredient; however, a couple of years ago, a product called Cutter Advanced was put on the market which uses Picaridin as its main repellent ingredient, a checmical more safe than deet. Even Consumer Reports rated this product well. I have used this, along with Off! Family/Kid insect repellent and Avon Skintastic, and I can say they help reduce the problem for my kids, but do not eliminate it.
One other product that we came across at Walmart (and I'm sure other stores probably sell it) is a bug repellent bracelet. It looks like those plastic, coil key chains. I put one on my child's wrist or, when they were little like your daughter, on her ankle. It seemed to work pretty good, too, and I didn't have to spray anything on their skin or clothes. One note if you use this product, you can reuse them (I stored them in a ziploc baggie), but their smell can permeate into other things, so keep it from food items, and anything else you don't want to bear that smell.
To reiterate Martha W., watch the times you go outside and where. We take morning walks instead of afternoon walks, and because of an unattended pool in the yard behind us, my children do not play outside in our yard in the evening as often during the hot, humid summer days. But when they do, the Benedryl stick is in hand ready to treat those pesky bites, the moment we step back inside.