45suited, 1000NL

3 handed, 1000NL Empire. Stacks around 1000 each.

I'm in button with 4s5s. I raise to 35, SB and BB call. Just sat down, so no reads. Played with BB before, and seems to be solid but tricky (the kind of player who raises river blocking bets with garbage because he knows it was a blocking bet and knows you'll fold). 3 to the flop.

Flop ($110): 2h3c9s
Check, Check, I pot, SB folds, BB calls.

Turn ($330): 3d
Check, I quickly check behind.

River: ($330): 6s
BB bets $200, I make it $600.

Thoughts? I plan on puking if he pushes, but will call a push since I'm committed. Anyone advocate just calling? Is there really enough value in raising here?