Hit and Run

A quick hand in which I was recently involved:

1/2 Cash game, with a definitive end time. Ten minutes prior to the end of the game I have KQ and open to $11 from position. I get called from one of the blinds, who has me covered. We are the two biggest stacks at the table. Flop comes Q,8,x and he checks to me and I continue for $15, fully expecting to take the pot right then and there. He surprisingly calls. Turn is a jack (2nd heart on board) and he again checks and I again bet, now $25. This time he raises me to $75 and I instantly call. River is another J. His action and he looks down at his stack and shoves out three stacks of red, $300.

I tank and mull my position.

Some additional tidbits about my opponent:

-He is quite drunk.
-He has, not five hands previously, felted a player when he made a river call of an all-in with top pair, 3 kicker on a paired board that had both straight and flush possibilities.
-He is a pretty well-off guy.

If I call and am wrong, I take a $110 loss on the night. If I call and win, I take a $700 win from the game. If I fold, I take a $200 win from the game.

What do I do? What would you do?