Why do you want to go dairy free? The reasons are relevant, as if it's from an ethical stance, it's important to bear in mind the nutritional implications from also not having meat, fish, eggs and the ethical/environmental component of the replacements.
If it's from it not agreeing with you, is it lactose intolerance (and possibly related to gut damage from coeliac, which is already a risk for deficiencies - you may also react to avenin, the protein in oats which is similar to gluten and many coeliacs also react to) which may be resolved through adopting Ewes' and Goats' milk products along with lactose free products and maybe lactase enzyme tablets/having lower lactose cheeses or is it CMPA, which means Ewes' and Goats' milk without issue?
FWIW, I think that violife blue has an accurate taste for something like Danish Blue even though it looks like feta, but the rest are exercises in disappointment.
For milk alternatives, soya products tend to have a weird bitter taste, as do pretty much all almond and nut products I've tried (they taste burned to me) with the exception of coconut. The oat ones make me feel sick, but I think a lot of people like them. Pea protein is foul in my opinion and rice milk is very sweet even if sugar free.
I got used to drinking black coffee with a very occasional coconut or soya milk frappucino type thing - the caramel syrup does a lot of heavy lifting, though - and black tea is good if you weren't actually a half mug of milk with a teabag waved at it from across the kitchen person in the first place.
Coconut yoghurt is very nice, however - the one thing that is perfectly good in its own right.