I find the Oatly brand of oat milk highly acceptable even as a milk drinker (Mom is vegan so I have tried a few). If you are a coffee drinker, the vegan creamers taste much better in coffee than the vegan milks. Also, if it turns out you are ok with the A2 casein I have seen A2 milk in the store lately, but reading up on it it sounds like it isn’t 100% A1free and I have no idea how sensitive you are.
But yeah, a session (or a few) with a nutritionist sounds like a very good idea.