Milking the cow, or stroking the bull?

BoDog 2000$ Guaranteed
Blinds 15/30


UTG+2 (350) calls 30
Hero (1515) raises to 140 with QQ
Button (640) calls
BB (1175) calls
UTG+2 calls

Pot (575)

Flop: 4c 4s 7s

BB leads for 110
UTG+2 calls
Hero raises to 440
Button pushes 500
BB calls
UTG+2 slides in remaining 100
I call the 60 more as it is my only option

Total Pot (2320)
Turn: Tc

BB checks, he has 535 left, I put him in.

Hes the only one I have to worry about having me beat, I have huge overlay on my money, and If I am losing to the button, I wanna milk this donk out of his chips as reimbursement, and I doubt hes gonna be folding whatever he has for 535 more. This is obviously a really easy push, but even as donktastic as this tournament normally is, what in the hell can you put the players on here? Or is even level 2 thinking too much here O_o

[DJ Sensei]

As the BB led weakly, then called after a good sized raise and a push(essentially a call) I'd most likely put him on a flush draw. A 4 is unlikely, as he'd go all-in on the flop. 77 is also unlikely, he'd probably check it.

As far as the other opponents go, I can't imagine you're behind here unless one has 77 or A4s (unless you're up against idiots, which is a possibility that can never be discounted). Unless the flush comes, or somebody hits a 2-outer set, I don't see you losing this pot.