[Baloosh]

Wouldn't a Tight-Agressive player who "knows what he's doing" raise the flop here with JJ or KK?

I think the TAG is the least of your worries in this hand -- those other callers are the ones who will play Ace-rag for any number of bets pre-flop. If you really want to fight for this pot, you could probably (maybe?) get the TAG to fold, but not the other 3, especially when they flop their A-rago. I'd check this flop and depending on the action, fold or call.

Since you bet the flop, you don't have odds to spike the non-spade Q (1 out). You do have odds to spike any Queen, but the Qs could be an expensive second-best hand.

..unless you river g00t and pair the board.