Did I get enough money out of this hand?

We're 8 seated and I'm in middle position. I have $105. Villain has me covered, and is on my immediate right. Folds to villain who limps. I raise to $4.50 with [Ts]. All fold back to villain who calls.

Pot $10.00. Flop [Tc][2d]. Villain checks. I bet $4.50. I'm trying to look weak on purpose, because I'd really like for him to bet, either for a steal or with a hand like 88. Villain obliges and raises me to $10. I flat call. There really is no card that scares me here, and I have position, so I just decide to see if I can get him to lead the turn.

Pot $29. Turn . Villain bets $15. I raise to $30. Villain calls. At this point I think he's got a Q...maybe KQ...but it could be a draw that he was betting as a semibluff on the turn, something like AJ of clubs, which is of course great for me if he hits it.

Pot is $89. River is . I have $61 left. Villain checks. I have $61 left. I'm not sure he'd check KQ here unless he's trying to induce a bluff and planning a check call.

How was my betting until this point? What's my bet now? Do I shove or try to milk a smaller bet?

You wouldn't have any issues with the river push if you had bet more on the flop and turn mike. On the flop, he's not rasing and continuing the hand *EDIT without a Q, most of the time, and if thats the case make your bets slightly larger so that the river push is not an over bet. Its likely he's calling you anyway, but if he's a slightly sentient version of the garden variety donkey, a river overbet might get his gears spinnning a bit.

Welcome to valuetown, population: you.

If he folded here, you're the mayor of reverse value town...because the dude has at least a marginal hand.

On the turn, raise to $45.

Or if he's donkish, just push. Few people can fold trps there.