Yeah no real reason to raise such a dry flop. The whole reason you call sometimes with aces is to protect your calling range and it makes a perfect candidate to call down with against aggressive barrelers.
Personally I would have preferred a small 4-bet pre. He's probably pretty strong 3-betting UTG+1 and you don't want to miss out on the chance to cooler him when he doesn't like the flop.
As to whether you can get away on the flop, I would say possibly against nits but stacking off isn't a punt or anything.
The typical rule of thumb is that stacking off with an overpair when SPR is under 3 on the flop is usually standard. SPR of 3-5 which is where you were at is "it depends" territory. You can sometimes stack off but should be a little more cautious. SPR over 5 you typically want to be very selective about stacking off with an over pair.
Here I'd put him on something like KK, AK and maybe some KQs or 5-10% allowance for random spew. You're blocking AK which is what you're hoping he has, but there are still enough AK combos that you can't really fold, IMO.