Hello cozacu,
Preflop: Against BTN stealing range I'd be even happy to 3bet here.
As played
Postflop: Most likely I would still not be giving up it on the turn, his range may easily contain a lot of worse hands, so I'd Check/Call it while we might even have the best hand and if he doesn't have a made hand and just a pair he is Checking behind and at the same time if we hit our FH we are still able to play for the stacks:
Board: 8
J
T
Q
Equity Win Tie
UTG 54.13% 52.01% 2.13% { QQ+, TT, 88, AKs, KQs, J9s, T9s, 98s, AKo, KQo, J9o, T9o, 98o }
UTG+1 45.87% 43.74% 2.13% { JhJc }
Best Regards.