$11: pocket eights, push on flop with two jacks

Seat 3: tomahawkchop ($1,460)
Seat 6: Hero [8H,8S] ($2,045)
Seat 7: Rossitron ($2,220)
Seat 8: Mo-Money04 ($4,130)
Seat 9: lauz1 ($3,455)
Seat 10: waran00 ($1,690)
ANTES/BLINDS
Mo-Money04 posts blind ($75), lauz1 posts blind ($150).

PRE-FLOP
waran00 folds, tomahawkchop folds, Hero bets $400, Rossitron folds, Mo-Money04 calls $325, lauz1 calls $250.

FLOP [board cards JD,6C,JC ]
Mo-Money04 checks, lauz1 checks, Hero bets $1,645 and is all-in...

Ok so I'm risking my $1600 (and my tournament life)to win the $800 in the pot. I make this play because I'm pretty sure I have the best hand, I don't want to give anyone a chance to make a move on me.

For example, suppose one of the checkers has 77 or a flush draw. If I bet 800 on the flop instead of moving in, he might put me on just overcards and reraise all in. At this point, I'd have a difficult call and would probably end up folding the best hand because I'd put him on the J.

So..push or bet?