I think T8s is rather unlikely. TBH, the limp/call preflop is either a super passive / bad player, or it is set mining.

Whichever it is, when he starts raising, you're beat most of the time. I don't mind folding. Don't forget that KK is a preflop monster but on the flop and after, all it is is a pair... Learning to release AA/KK when you're beat or even in marginal spots is a key to winning. You'll occasionally lay down the best hand, but that will easily be made up for with all the times you won't loose your stack.