The checkraise might be an option, but if villian was on a stone-cold bluff (which he might continue to the river), then we miss out on an extra BB since he will most likely fold to the raise. If villian was on a legit draw, then we don't win an extra BB from him (assuming he folds after missing on the river and would have given a river-bluff attempt). The only time that we win an extra bet is if villian is a complete tool and calls us down with a 3 (or possibly makes a weaker Q?)

If villian has us beat (with a 2), then we either fold the turn 3-bet, or lose an extra bet than we would by just check-calling to the river.

I'm not convinced that the c/r is the best option ... maybe someone can correct my anaylsis.