$50 PLO on UB, 4 handed.

Background: opponent seems reasonable, and quite aggressive. He's shown willingness to play big pots with draws aggressively, and seems to adapt to shorthanded play well. We exchanged a few buyins, and the game is pretty wild. I've been raising a ton in position, and trying to get the table to play back at me with weak hands and get paid on a big hand. I've not been CBetting too many flops though, although I've taken stabs at pot when it was HU and/or the board wasn't draw-heavy. I think that people are looking to trap me or play back at me, so I should be careful in big pots.
In this hand villain has about $70, I cover.

Villain is BB, I raise pot first in with [Qs][Td][3h], SB calls, villain calls.

Flop: [Kh][3d]. Checked to me, I pot it, SB folds, villain calls.
Turn: . Villain checks, I pot, villain minraises. I don't like it: he's probably full, although there's an outside chance that he just has AK and thinks I'm stealing. I call, because if I hit a higher boat then I'll get his stack. There's also the possibility of a split.
River: . No help. Villain pushes. It's $35 more to call in a $100 or so pot.

Anyone in favour of pushing the turn? Or maybe folding? Should I have checked behind to begin with?

if you are willing to get it all in, i like calling the turn as it gets him to bet again since he's oop. I call that river no question. if he has 66 or K6, oh well.