6/12 boat dilemma

[sem25]

This really isn't specific to 6/12 (could apply to lower and higher stakes) but here's my dilemma...

good 6/12 game (lots of limping action going on). i limp in MP with TJo after 2 limpers one more limp and BUTTON (TAG and very tricky)raises. BB and rest of field calls.

TJ6 (rainbow) on flop. Checked to me. I bet for a bet/3bet. Button raises field folds to me and I 3 bet and he calls.

T on turn for TTJ6 board. I lead and he calls. At this point I put him on a big pair.

Q on river for QTTJ6. At this point I check and he checks behind me. He shows KK and I take down the pot. He laughs at my attempt to C/R him on the river, but I was more worried he had the QQ. He also mentions that he knew I had the boat. He is also the type to lay down hands (he's laid down TPTKs and the like to draws that have hit on the river). I guess my dilemma is do I bet that river when a high card comes out when he's sure to lay down a non-boat? Or am I simply missing a bet? Please don't be too harsh on me...