A situation I'm not sure how to handle...

[HoneyBadger]

Suppose you pick up AKo UTG+2, all fold, you raise, MP3 calls cold, others fold.

Flop comes: 8c 3c 9d

You bet (?) and he raises. Now what? I assume a call?

Turn: 3s

Now what? You suspect he might very well be freecard raising his flush or straight draw, or possibly a smallish pair. When you check, since he still has the initiative, he will likely bet and you can't really call, can you? If you bet he won't fold, he might raise if he's tricky, or just call. Then what on the river if it's another blank? you suspect he might have missed the flush, but can't be sure. b/f?

I hate this situation... what are reasonable lines here?