I misplayed this hand pretty badly, but want to know if my take on how I should have played it is on track. Folds around to the BTN, who is a decent player. He limps. In the SB I have , and I raise to $5. BB folds and BTN calls. I have ~$110 and BTN covers.

Flop: ($11)
I bet $8, BTN calls.

Turn: ($27)
I bet $15, BTN calls

River: ($57)
I check, BTN puts me in for $80, I call.

Working backwards from the river. I think I should have bet $20 here, so that if he pushes over the top, I can fold. By checking I induce a bluff, which makes it more likely that I should call, so if I bet I have a much better idea if my hand is good.

On the turn I should either check to keep the pot small or make a PSB. If I check and he checks behind then I can make small value bet on the end. If I check and he bets, then I raise and force him to define his hand. Alternatively, I think a PSB of 22-25 would have got the job done. If he calls that or raises then I have to think I'm beat and can check/fold the river in good conscience.

you could slow it down on the turn, but on the river you might as well bet, if your putting it all in to his push after you check...............make a bet to maybe get him to fold like you said, if he raises you fold..............now he pushes and you make it harder on yourself