C bet big Ace?

I open in the HJ with AsQc and only the BB calls. He is just sat down so I have no reads other than he is a 50 ish guy.

Kc6s7h...He checks, I bet, he calls.

Kc6s7h8d...He checks.

Do you check here reasoning the 8 has hit his flop calling range? If you check and he bets a blank river do you call?

Do you bet with the intent of checking back the river UIP?