What would you do? #90 - Facing Flop shove with KK on a 4bet PF pot

I think I'm obsessing too much over KK. From the Rush tables (with a bit of history):

Full Tilt Poker $0.50/$1 No Limit Hold'em - 9 players
The Official DeucesCracked.com Hand History Converter

UTG: $116.35
Hero (UTG+1): $134.10
UTG+2: $270.90
MP1: $331.50 - 43/29/0%3bet @ 7 hands
MP2: $151.80
CO: $35.50
BTN: $141.50
SB: $296.50 - 38/22/14.3%3bet @ 18 hands
BB: $119.70

Pre Flop: ($1.50) Hero is UTG+1 with Kh Ks
1 fold, Hero raises to $4, 1 fold, MP1 raises to $13.50, 3 folds, SB raises to $23, 1 fold, Hero calls $19, MP1 calls $9.50

Flop: ($70.00) Qc 8h Qs (3 players)
SB checks, Hero checks, MP1 bets $70, SB raises to $273.50 all in, Hero requests TIME, Hero folds, MP1 folds

Should this be a snap call? I can't imagine him SB 4betting without AA, and check/raise shoving the flop without a monster AA or QQ. I also think it's very possible that MP1 has quads, etc. I'm stuck as the monkey in the middle with $23 committed. Given the pre-flop action, should I have folded KK? I think I'm coming around full circle, where I should be shoving KK and not worry about running into AA? Maybe? Nah.

Final Pot: $210.00
SB wins $207.00
(Rake: $3.00)