Predraw: btn raises, I 3b, btn 4b, I call with Q8732
1st draw: 1/0
Flop: I x/r with 87532, btn calls
2nd draw: 0/0
Turn: I bet, btn calls
3rd draw: 0/0
River: bet?
Once you get 4 bet, break the 8 on 1st draw. Raw equity for 2378 is similar to 237 before 3 draws vs a 1cd/pat hand but your implied odds are much better with the 237.
Regarding the flop x/r this depends on your read of button's predraw pat range. Various players pat anywhere from 18 to 52 hands there.
You cannot break the 8 on the first draw when button is supposed to 4bet any one card draw and you are slightly ahead of his range. With 876 I would probably just check call down but 875x2 is too strong to not raise. Well played hand.