Given the probable substantial benefits, I think it would be worth your time and money (probably wouldn't take more than a couple of days and a couple of hundred dollars) to go through a few dozen types of wine to figure out what you most enjoy. If no wine is sufficiently palatable that you think you could consistently drink it a few times a week, go through other sorts of drinks (of which there is a huge variety). Personally, while I don't enjoy 90% of the drinks I've tried, I'm quite partial to Baileys and milk, and to most kinds of fruity drinks - sangrias in particular involve wine and are tasty.

I have a similar taste issue, and after a year and a half of deliberate practice every time I go out with colleagues I'm finally starting to find the taste more tolerable, and even to enjoy a very small subset of alcoholic drinks. That said, I find wine to be the most disgusting in taste and I suspect that even with a lot of practice I'll never enjoy it enough to voluntarily drink a full glass of it at any time, let alone every day.