LIVE, KK OOP a/g tough thinking TAG...what's my line?

[Cali4niaRaisin]

Turning Stone 500 max NL(5-5 blinds) this past weekend, came to table 1 hr ago and have not yet played with villian. Played with him night before, he usually plays 1k and 2.5K max...at least this weekend. He's been playing all night and it up to 3000ish.

Hero (800) is UTG with KK and opens for $25, villian calls, we're HU. FLOP: Jc6d4d. Hero leads for $35 into $60 pot, villian raises to $125....Hero?

3 betting flop seems spewy to me, b/c then if he shoves I can't call...Does anyone bet/call then lead turn?

I know this hands seems very standard to some/most ppl, but with these stacks I didn't really know what to do.

Thanks.