AA flopped set against good player, how to maximise value?

[paddymcg21]

Playing in a local live tourney, most players pretty poor but this 1 guy to my right is very good (compared with the rest obviously) but nonetheless a good player.

blinds 100/200, starting stacks 10k. My stack 9500, villains stack 11,000 roughly.

Villain is UTG and makes it 700 to go. Im next to act and I make it 2,000 even. It's folded to villain who thinks for a while, looks at me and calls.
Pot= 4,300
My stack = 7,500, villains stack = 9,000

Flop comes A 4 6 with 2 diamonds.

Villain wastes no time at all and checks to me.

My problem here is im pretty confident he doesnt have an ace and im not entirely sure what the best action to take here is. If I bet then him not having an ace and folding is quite likely. If I check I could get action but then again it could also look very suspicious to him.

What are people thinking here?
cheers
Paddy