PP 33r: Am I being results-oriented?

[aLOWdAkING]

180 left and bubble is 50. Blinds 75/150, I have ~T4000 and Villain has me covered by about 1k. Dealt TT in MP, folded to me and I raise to 400, only to be called by the Villain in the BB. I might a somewhat loose table image, as I have gotten some decent hands and been raising frequently this last orbit.

Flop 832, suits unimportant.

Pot is 1200, I fire 900, he calls.

Turn is an 8

I have about 2700 and the pot is 3100. I bet 2300ish, Villain pushes... I call, he has K8, I'm busted.

So what I'm wondering is...

Should I have checked the turn to induce a bluff from a weaker hand and lose less with a hand such as his?

Should I have bet less on the turn when that card hit, or pushed all in if I was going to call anyways?

Thanks!