[jjigglers]

You're ahead 3:2 against his range.

Mathematically, if the re-raise big is essentially all-in, it's a -EV play, considering he only folds about 50% of the time, and when he calls, you're a 10:9 dog (the folds gain you $635, 50% of the time).

If you re-raise small, and he re-raises you (~25% of the time), and you call all-in (because you are now getting the right odds), you're about a 5:4 dog. The other 75% of the time where he calls, you're ahead 4:3 if you magically get all in no matter what flops.

Re-raise big = slightly -EV
Re-raise small = +EV assuming you get all in sooner or later, or ? if he folds to x% of boards and y% agression with Z hand.
Call = ? (we really don't know what happens on the flop)

I think the point of the question is to not push vs. this Villain.