KK line check..

Ultimate Bet No-Limit Hold'em, $.10 BB (10 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

SB ($2.40)
BB ($37.35)
UTG ($6.05)
UTG+1 ($4.45)
Hero ($11.48)
MP1 ($4.65)
MP2 ($19.66)
MP3 ($7.80)
CO ($5.40)
Button ($2.55)

Preflop: Hero is UTG+2 with K, K.
1 fold, UTG+1 raises to $0.35, Hero raises to $1, 1 fold, MP2 raises to $3.5, 5 folds, UTG+1 folds, Hero calls $2.50.

Flop: ($7.50) 6, 7, 7 (2 players)
Hero bets $7.98 (All-In), MP2 calls $7.98.

Turn: ($23.46) 4 (2 players, 1 all-in)

River: ($23.46) A (2 players, 1 all-in)

Final Pot: $23.46

I'd push after his re-reraise prefkop. At this level, opp could be doing this with any Ace

As played I think the flop push is fine, but as AHiltz said, I would push preflop and try to get it all in there.

Puuuuuuuush preflop!

I actually don't mind the line you took either.. he might fold a hand like 88 preflop but might like his hand a lot more after the flop.