The lactaid pills are very upsetting to me, as is the soy milk. Have you tried goats/sheep milk as most (not all) lactose intolerant sould are only upset by cow dairy. This has been my strategy.
It definetly has a sweeter taste to me, but I wouldn't call it funky. Also be careful in trying it. Some people benefit greatly by going to goat and sheep products but not all. So start slowly and test this theory.
I hope it woks for you, as it gave me pizza back into my diet.
best of the best and love