I would second trying goats milk.
it's fairly easy to get hold of, and not that expensive. it does, sadly taste quite farmyard-y, but some are better than others. The one you can get in Sainsbury's (St Helen's Farm, i think) is apparently better than the M&S one (which is rank).
it has a different protein in it than in cow's milk - A2 rather than A1.
If you think you might get on with A2 milk, then bufallo milk is lovely (I kid you not)
we all drink bufallo milk as a family now (used otbe dds on rice milk, then goat; dh on goat/soya as his mood took him).
I couldn't stand soya, rice, goat etc.
Hazelnut milkk is nice, especially on muesli etc, and dh said it was nice in coffee (I don't drink coffee/tea). almond was ok, but not great.
oat milk is nice tasting, but doesn't work well in coffee/tea according to dh.
hth