I'm of the aggressive breed that says PUSH ALL IN on that flop. The pot is already big enough to justify taking it down and I don't want to be the one who has to me the decision when that next diamond comes. The decision is easy ON the flop. You know you've likely got the best hand and that's the time to put your money in with a pot that big.

Normally, you want people chasing draws, but chances are you're dealing with more than a frush draw here. Someone likely has an ace and there's a good chance you've got them outkicked. There's also the possibility someone is chasing a straight(either 10 high or A high) and you don't want anyone getting to the turn cheaply or freely.

With pots that size, you want to get all your money in there with the best hand...if I get sucked out by someone willing to risk his entire stack on the draw, then fine

If I'm in that position, I'm making them pay their entire stack(s) to see that next diamond.