As a supertaster I can get ALL over wine.
As a college student / SAHM I cannot afford to :( :( :( (No Petrus for me! sniff)
So I went on a $10 mission a few years ago. I cannot, cannot, cannot drink certain varietals (bordeaux & merlot amongst them) in the $10-15 range (have a hard time in the $50 range). Certain wines need age and oak, and they need it bad. But I've gone on a grand adventure in the 'affordable' range. Chocolaty South African wines, Spicy shiraz, Mineraly South American, alexander river zins that don't bite you back, luscious pinots from the alexender river, bacony cabs (all cabs have a bacon taste to me, it's the kind of wood they're barreled in)... yeah... fun times IF you like wine and don't need to choose between a car and a bottle. Huh... that came out wrong. You know what I mean, I'm not dropping 8k on a bottle of wine. ANYHOW.
If you want to stick with WINE (I'm going to suggest you don't) try a dry Riesling and make sure is a recommended wine (from a wine shop or section that has a sommelier, they'll point you to a decent one). Black Cat region of germany has some great ones. DO NOT get a sweet Riesling. Ugh. You'll hate it. DRY Rieslings *are* sweet, Sweet Rieslings are like drinking perfume swirled with sugar (and are a very acquired taste). Another option for a "sweet" wine that won't make you gag is Gewurztraminer. Again, ask the sommelier for a good dry one. ((Never ever ever get a sweet "sweet wine" or you'll regret it. As I said, they are as acquired a taste, often as acquired as stinky cheese. Arbor Mist isn't sweet at ALL compared to sweet "sweet wines".)) Pinot Grigio is another fairly sweet white (sweeter than chardonnay).
INSTEAD of wine, I'm going to suggest you go for bubbles or sake.
Champagnes & Sparkling Wines (like "California Sparkling Wine" or Prosecco... Italian) are what Arbor Mist tries to imitate. The same way gas station colognes try to imitate Polo, or Sunflowers. They're great, until you try the real thing. Subtle differences that wow. Go for "pink". Pink champagnes (and sparkling wines) are made with pinot noir grapes (which are red), as opposed to white champagnes (and sparkling wines) made from green grapes. There is a HUGE variety in champagne and sparkling wine. Most basically, the higher the price, the smaller the bubbles (not always true, but generally true). You can get a $10-20 bottle of champagne (or s.w.) that isn't the headache inducing, tongue curling, "eeew" very easily... you just need to ask for a "good one" in whatever range and the sommelier will light up and show you two or three bottles (usually not any name you'll recognize).
Sake also has a huge range. Children are often given "cloudy sake" (rarely called that in the US, here in the states it's more often called 'unfiltered' but if you want to impress a japanese person behind a sake bar, call it by it's "real" name, which is cloudy sake, their eyes will light up) because it's a GREAT deal sweeter than clear sake (which can sometimes taste like paint thinner). Cloudy sake is most often served ice cold (except in winter in northern japan, where it's served warm), unlike clear sake which is served warmed or at room temp. Sakes are nearly as varied as wines made from grapes, although they can be hard to find. Even the very best of them come in small bottles, so it's easy to experiment. If you have a sake bar nearby, hit it up. Unlike wine bars, you aren't paying for the whole bottle when you buy a glass, so they are a GREAT way to experiment. Just make sure to tell the bartender that you want little cups so you CAN experiment. Cloudy sake is often served in huge mugs (as opposed to thimble sized cups for clear sake) so you don't want to be knocked on your bum in order to taste around.
SOMMELIER SOMMELIER SOMMELIER
I can't say it enough. Sommeliers love wine. The also love people who experimenting with wine (I've yet to meet a snobby sommelier, and I've known dozens). Wines are fun, and sommeliers drink them all (the good and the bad). They also know all the different "profiles". When shopping with my sister she gets *entirely* different kinds of wines than I do, and the sommelier directs us to those totally different bottles. Your DH may like certain kinds of wine you NEVER will, and vice versa, or you may find wines you both like. If you have a local shop, you can make great friends on your own adventures. I've known 4 local ones now for YEARS. And I started off with "Something Red, I hate merlot". Now I'm "I'm feeling like South African tonight," or "something aged in oak, with great vanillin", or "I want lavender on the exhale" or "Has the Stags Leap Merlot come in? I'm treating myself!" .