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Even though stacks are deep, I would still probably just call. The only hand you maximize against by reraising is 3-3. Against every other hand, you win more by just calling, as you don't accurately define your hand, and allow him the opportunity to overplay his, or continue with a bluff. So while you may be costing yourself some money when he has 3-3, I think you make more on average given the fact that he almost always has another holding, and that calling is almost always preferred in those cases.
Edit: Another thought. When he has 3-3, you can still win his money fairly easily by just calling anyways. Call the flop, and he will bet probably $250-$300 on the turn. Call, and then he will probably make another substantial bet on the river (at least $400), at which point you move in, and he will call. This is probably your best line. Call the flop, if he bets big on the turn, just call, if he makes a smallish or medium-sized bet, raise to build the pot, and try to get all-in. If you call the turn, move in on any river.
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