600NL(6max) continuation bet or not.

[arod15]

I'm UTG (433) with AQboth hearts. So far ive played a tight game lost one pot to a set. I raise to 18 (pretty standard at this 3-6 table) and get two callers. (plus the blinds there is now 62 in the pot. The flop comes 8 7 2(rainbow 1heart). Should i do a continuation bet here, check? Why. I decide to do a bet banking only my tight image. I bet 45 into a 62 dollar pot. UTG+1 cold calls Button moves all in. However he only has 92 so his all in is only 47 more. I do the math im getting a little better than 5 to 1 (244in the pot 47 to call) with two overscards and a backdoor. Im a little scared of what MP+1 will do if i call but i do say anyway. MP+1 also calls. The turn is a 4. I decide to check and i get a check behind me. River is an A, so the board is A 8 7 2 4 with no flushes. I decide again to check and perhaps checkraise . MP+1 checks behind. My aces were good. Comments?