Hello acceleration123,
Flop: Yeah, like rather just Check it and be happy to see free card. I don't think that he is going to fold a lot of hands here anyways. Rather Calls us preflop with some kind of PP which continues, broadways and which will continue as well.
As played
Turn: I'd even consider Checking here since he will anyways have hard time Calling with a lot worse us. And if he Checks behind then bet the river for value.
As played if turn was Bet
River: I might even consider betting like $1-1,50 since I just don't see him Calling with a lot worse. Any Qx already makes a straight and so on. But as played I wouldn't Bet/Call there, don't really see many hands what we beat, just Bet/Fold even if we get that great odds.
Best regards.