9-handed table at Bodog but there are just 3 of us. I have position on the Villain and have focused on him for the last half hour or so it's been 3 handed.

Reads: when he first sat down (full stack) he check-raised all-in on the flop on his 2nd hand, and then on his 5th or 6th hand he minimum raised preflop then pushed all-in over a preflop reraise. I wasn't involved in either hand, but my other opponent did fold both times. Then later he minimum raised preflop out of the SB, I called in the BB with T6o, he overbet the pot on the T65 flop, I raised, he instapushed and I called of course and beat his AT. He insta-reloaded. Since then he has been aggressive but very very predictable in a bad way: if he raises preflop, he will bet flop and often turn UNLESS he has a good hand, in which case he will often slowplay. When he slowplays a big hand he always bets full pot on the river.

Because he's too aggressive with bad hands, I have been calling him down with all sorts of junk and mostly winning. I must look like a total calling station to him. I have never raised one of his bets, except the hand I stacked him with T6: I've just letting him hang himself.

Now the hand. Villain has reloaded to $50 and I cover by a bunch. 3rd guy limps otb, Villain raises to $2.25 out of the SB, I call, button comes along too.

Pot $6.75 is [4d][3s]. Villain pots, I instacall, button folds.
Pot is $20.25. Turn is . Check/check.
River is . Villain quickly bets full pot ($20.25) and has another $20 behind.

I'm considering a push for value but I'm not sure about it. What is the worst hand I can have where a push for value is +EV?