OK. The answer here is to call. It's not because this situation is WA/WB (because it's not a WA/WB situation, due to the FD being a big part of his range) but because rasing for information is a bad idea, as I hope i will show.
If you're playing vs some1 mega agro, I could see raising and calling a push being OKish, but the worst answer out of all the possible ones I'm afraid is to raise and fold to a push.
Lets look at his possible hands. I'll presume for the time being that AA/KK/AK will always 3bet preflop...but even if he decided to mix it up and just call this time (maybe hoping BB will squeeze so he can 4bet shove), we can just lump these hands in with monsters.
1) Monsters: Only real monsters he can have here is 22/66 (AA/KK/AK a tiny % of the time). Obviously he will expect me to cbet, so he will c/r these hands a lot, but he will also lead them looking for a bet/3bet or a lead and c/r turn line quite a bit too. Obviously if he has any of these hands, we want to fold. But given that his hand isn't face up, we cant really fold (far too weak/tight imo). Obviously if he has any of these hands, calling is better than raising, as we want to put as little money in the pot as possible. i'm sure some of you might think that if we raise and fold to a push, we have the info needed to fold, so this is in fact better than calling. This is WRONG. Raising for info is normally bad, and for reasons I will explain shortly, this hand is a good example of why.
2) Air/ marginal hands. I'll lump both these type of hands together. he might be leading into us on a stone cold
bluff here. he might also be leading into us with KJ/KT/77-TT type hands...maybe looking for the "information" all you guys seem so keep to try and get every hand. If he has either air or or marginal hand, he is drawing close to dead vs us. if we raise, he will fold. Obv folding is retarded if he has any of these hands. So very clearly, just calling and trying to milk him on later streets by showing some weakness on the flop is the best move.
3) Draws. I think this is a huge part of his range. A lot of nut flush draws and some KcXc hands and rarely, but some times, a non K or A high FD (I think he will c/c those more often). This is where it gets important. What I've not seen any1 do yet is consider what will be his reaction with those hands if we raise the flop. Do you really think he is leading them so he can call a raise without odds? Do you think he's leading them to fold to a raise? I think he VERY rarely calls or folds to a raise. I think most the time, he'll shove. And then what have we done? We've paid $100 AND FOLDED THE BEST HAND.
So this is why raising for information is so bad in general:
1) folds out worse hands
2) gives $$ to better hands
3) the information is not reliable a lot of the time
4) the information isnt worth the price we are paying.
basically, We are paying $100 for info on his hand. Do you think its worth it? And are we actually paying $100? Answer - NO! We're actually paying MORE than that! Why? because we also cost us the $$$ we would have made off air/marginal hands on the turn/river. We cost ourselves the $$$ from folding the best hand to a draw and we cost ourself the $$$ we could have made off the missed draw on the turn/river.
So that is why I like calling best