If he has a lot of Ax, he certainly has a low of KQ/KJ/QJ/diamonds/low pairs.
I guess you're right. Again, if this guy is l/c T6o, his l/c range is so ridiculously wide that he's more likely to have king high or worse, something that always folds, vs ace high and better. I'd expect him to call a $4 bet with ace high pretty often, but if he has junk more often then maybe we should let him fire.

I think I'd refer to the essay I'd have on this guy. We must know a lot about him if he's playing lots of hands. If he checks behind his king high crap at showdown, then I'm betting $4 and expect to see calls reasonably often with ace high and 9x, with the occasional jam from Tx. But if he's spewy on river, yeah c/c is going to be way better.