I'm going to try applying REM in this situation. I've been reading about it and will use this opportunity to practice it, if you folks don't mind
Range
AcK, KK, AcA, 77, Ac7, AcQc, AcJc, QcQ, JcJ, QcJ, QJc, QJcc
Equity
Way behind of AJcc, AQcc, QJcc (3 combinations)
Way ahead* of KK, 77, AcK, Ac7, AcA, QcQ, JcJ, QcJ, QJc (3+3+3+3+3+3+3+4+4 = 29 combinations)
29 >> 3 => we are likely to be favorites.
Maximize
Haven't read this part in PNLHE yet :P However, we are certainly committed, especially considering that the SPR is below 2, so I say shove the rest of your stack (likely favorites, big pot).
*I gave villain 7 outs for each of these hands. For KK and 77, that's 1 out to quads, 6 outs to the board pairing the 2 or the other flop card. For AcA/AcK/Ac7 I just gave the villain the 7 remaining clubs as outs. "Way ahead" here translates to about 70% equity using 7 outs. Our equity goes down a bit (no lower than 60% I expect) if we consider things like runner KK/K7/K2/K2 for AcK, etc.
Decision
Re-raise all-in.