Tough spot to get CR OTF , you have all the Ax that have great equity on this board and he doesn't and should not expect many bluffs from him since he can't rep much( 63s, 54s, and slowplayed AA should be his value range here that sees the flop this way and make sense to make the sizing so small). I would not expect a random reg at this stake to be doing this CR with air almost ever. And would expect a bigger sizing if he CR 5x or draws.

His line looks to me like he is trying to induce with a nutted hand. 

As gross as it looks folding flop I think is best. If he is the type to go monkey on you , you have all those Ax and value hands to shove it in his face, this hand would be too weak to do something about it.

If you flat the flop, which I don't hate, alarm bells should go off when you see him barrel so small again. Standard fold turn imo.

20bb deep I like to check back the 6x hands that have T+ kicker that is a club. As played I don't mind what you did but calling flop and folding turn seems a better option.

we can have notes from the whole ft!

I don't' mind even just folding turn. We can have notes/reads where we fold flop, or call and outplay turns and rivers.

cbetting a different size might be helpful (even 0=check).

ya just c/f turn, but how does the bb check first when your in sb