OK now I'm confused. Are you AJ or 77?

If you're 77 life is good obviously.

If you're AJ, his range consists entirely of sets and KJ, QJ, JT, mayyyybe T9, 98 for the gutshot. It's WA/WB, there are no decent draws on the flop. If you're ahead, he has at most 4 outs (T9/98). I don't mind playing it this strongly if you have him down as a CS who will stack off every time with top pair. But if he has the ability to wiggle off the hook with third-best type hands, then you need to slow down. AJ is the very low end of hands that most Cakers will play this strongly, if he's a thinking player at all, he most likely puts you on an overpair after your turn bet. 2 streets of value is plenty to get out of AJ here in a raised pot, IMO. So I'd check the turn.

EDIT: also, it seems dumb, but a few Cakers will play QQ-AA this way as well. Another tiny reason to slow down on the turn.