I open raise in Cut Off to 8 with . Button (140$) is only Caller. I cover, but just sat down, so no stats or reads.

Flop: Pot: 19

I lead 15, he calls.

Turn: Pot: 49

I bet 33, he raises to 70, he has 47 left.

Do I fold or Push?

At that point you have to push.

I agree with Ice's reasoning for checking the turn, but if the flop where tree rags (no ) I think betting the turn is good.

I folded the turn after he raised me. If I push I need to put 84 more dollars in.
After the turn minraise I think I beat very few hands. If he is really bad he could play QX like this, but without a read KQ, a set or AA seem way more likely.

What hands do you think he can have that I beat T-Rod?

These spots where I CB the flop and hit the turn has cost me a lot of money lately. I tend to get a little to excited about hitting and forget my hand isn't really that good.