[2+2 wannabe]

If it was Button who raised I'd 3-bet this everytime - UTG at Absolute, not so much with a 3rd player in

I think you should c/r the flop still - you gain fold equity on the turn (don't let overcards see the river), and get to see where you're at cheaply

With c/r'ing the turn, you have a very small chance of folding both players before the river, and will probably get to showdown with someone seeing a 5th card (which you don't really want)

I don't really hate the way you played it - I'd just c/r the flop instead - of course c/c on the turn is v. bad