Predraw: I raise btn with J7532, bb 3b, I 4b, he calls (betting uncapped hu)
1st draw: 1/1
Flop: bb leads, I raise with 87532, bb 3b, I call
2nd draw: 0/?

Am I right to raise flop? Any merit to 4b flop? And then break if he calls and pats. Seems like I'd break an 876 here but my 8753 beats enough worse 87s.

Result:

I'm not really sure what to do here but I like a flop call and pat.

4-betting pre is fine. You raised button, presumably your range is weak, so his 3-bet is behind your excellent D1, 4-bet for value.

On the flop, think it through more. You both showed big strength pre, both drew 1, and he leads. He is saying he has a pat hand. If you raise, it has to be for value, or because you're trying to get him to break. But he isn't breaking any better hand, maybe he will break 87432, maybe. I can't think of another. If he has slightly worse, you don't want him to break. So a raise here can only be for value, as you think he will stay pat and pay you off with worse. I don't see that as a happening often. So, you call to freeze him on a hopefully worse hand, and call him down. Or, you call and D1 to the 7532. I would usually call and pat, and usually call him down.

Thanks for all the draw threads you start!

Cheers, Greg Raymer (FossilMan)

good breakdown of how to think about a spot like this!

Your 2b on 3rd looks like you are doing it more for information than value, the problem is, as others have said, you clearly didn't have a plan for his responses.

If he would 3bet any 9 or better then pat, then you're still crushing his range: a ~74% favorite. Most players wouldn't do that though. If he would 3bet and pat any 8 then you're a ~37% dog. If he would call the 2b and pat or break some 8s and 3b only his stronger hands then you have to break. I didn't factor in card removal for the 7 and the 8 in your hand(which is not too significant except 9s are more live)

If you break, here is your equity:
vs 35678: 40%
vs 23478: 31%
vs 23568/23458: 31.5%
vs 24567: 27%

Finally, factor in that your implied odds breaking are much higher.
From the numbers, I think you can see that the key decision is whether he is a lag that would go ham with a 9 on the flop there. If not, you have a clear break. There are not alternative tricky lines because no one is breaking a 68 or better ever.