If I read it correctly, then the preflop action was BTN limping, no player in small blind (happen when someone just busted), Hero raise to 4BB from big blind, limper call in position. I would just have taken a free flop here. I dont think, there is any fold
equity, and I also dont think, raising T8s is for value even against a wide limping range.
As played its a bit of the same story on the flop. You flopped a gutshot, but as far as draws go, they pretty much dont get any worse than this. 3 of your improvement cards could potentially give your opponent a better straight or a full house, and the last one could also give him a flush. Or you could even be dead to a full house already.
You are also out of position and against someone, who is probably a recreational player, since he limped BTN with a deep stack. So your hand is pretty much garbage, and in general this is not the kind of player, you want to try and
bluff of
hands, and especially not when he have position on you.
Conclusion: Check-fold the flop and move on.