I check and call a reasonable sized bet. I'd probably fold to a bet that's >1k. If there's a call or raise before it gets back to me, I fold because I'm likely drawing slim or not ahead by much.

If I get to the turn somehow, I bet almost every turn for 2/3 pot or so.

Side question: who in this hand can have AJ? At the stakes I play, the answer is likely nobody. What about at these stakes?