1/2 - Unpaired AK betting on rag board

[DReid2006]

Recently sat down, new table with no reads. Game is fairly tight with average pots of 4BB's and 30% view flop.

Hero is in SB with AsKh

2 folds, EP limps, 4 folds, Button limps, HERO raises, BB and both limpers call.

flop 2h 3s 4s (8 SB / 4 BB)

HERO bets, BB raises, fold around, I call.

Turn: 2d (6BB)

Hero bets, BB calls.

River: 8s

Hero checks, BB checks.

I thought he was drawing on the flop, so I figured if I checked the turn I would probably call his bet and still not have very much information. I bet again, planning to fold to a raise.

Should I have check/folded on the turn after his flop raise?