First time post, thanks in advance, and appreciate your comments.

NH 2-5-10 (10 straddle mandatory) , I'm with 2500 deep.

I'm UTG with KsKh, raised to 40. Mid position called, button (also with 2500 deep) called, straddle called, 4 of us see the flop, pot: 167.

Flop: 8s4s4d

I lead 80, mid position fold, button raised to 280, straddle fold. pot: 527, what should I do?
Thoughts: with 1000 deep I will move in here, but with 2500 deep, I think I should call and see how it develops on the turn. The button from history has a wide range, and has almost called all flops once he was in the hands. Not sure about his raising range though. I'm thinking from top pair, to 99-TT-JJ, or flush draw.

Your thoughts?

Turn: Qd

I bet 400. Thoughts: to deny any flush equity, if he has AX of spade, he has 11 outs, I'm 3 to 1 favorate, so I cut the odds to below 2.5:1 for him to call. He thought and thought, and he folded.

Your thoughts? Should I check here? The dilemma is once I called the flop, my range was quite obvious, it seemed I have a over pair or AKs. So I won't let him make mistakes right?

Should I reraise the flop, to about 560? then go in on the turn if a spade or ace does not hit? this might be a better play.

When stacks are deep, I don't seem to have a good handle. Your thought appreciated.