15/30 live overpair gets donked into twice

[Ghazban]

Again, I don't play much limit so if this is dumb, let me know why.

9-handed 15/30 at the Bellagio. Overall the game is pretty passive, with few streets ever getting 3bet (or more). BB is tight-weird in that he doesn't play many hands (and has never 3bet preflop but has shown down AK twice as a cold caller) but takes some odd lines postflop, checking in spots where I think he should clearly bet and betting in some spots where I think he should clearly check/call or check/fold. Button is kind of wild preflop (plays a lot of hands even for a raise and 3-/4-bets pretty light) and on the flop but turns into a gigantic wimp on the expensive streets. His calls and raises on the flop are a huge range of hands but he'll often check through or fold the turn and/or river when he's still around for those streets.

2 folds, I raise KK, folded to button who calls, SB folds BB calls.

Flop T72r

BB bets, I raise, button calls, BB calls

Turn T (now 2 clubs, I don't have the Kc)

BB bets, I call with the intention of folding to a single raise from button regardless of if BB comes along and calling one more bet on the river (unless it's a king of course) but not any more than that.

Does this plan suck?