Final table bubble of MTT with JJ, please help with ICM tourney equity

[Loxodonta]

7 handed, top 6 get paid:

1st $342
2nd $225
3rd $144
4th $90
5th $54
6th $45

Seat 1: ITS-ALL-ME-JR (3,120)
Seat 2: kruttroyk (12,306)
Seat 4: strangor (6,610)
Seat 5: Doyle47 (12,917)
Seat 6: Loxodonta (11,300)
Seat 7: Nilli Vanilli (11,880)
Seat 8: shawndelc (9,367)
Loxodonta posts the small blind of 200
Nilli Vanilli posts the big blind of 400

It folds around to Doyle47 on the button who puts in a standard raise to 1,200. I have JJ in the small blind and I make a weak/passive play of flat calling, trying not to tangle with the other big stacks without a substantial edge. My idea is to check-raise a safe flop to win a medium pot. Meanwhile, Nilli Vanilli, who is known to be LAG, moves all in and Doyle47 folds. I know the algorithm for calculating my ICM tournament equity, but with 7 players remaining that is 7 factorial or 5,040 possible outcomes. I downloaded SNG Wizard and when it replayed this hand it suggested pushing my JJ (as opposed to folding I guess), which probably would have picked up the chips on the table and saved me this tricky decision, but I could not figure out how to get it to tell me my tournament equities of folding vs. winning this giant pot. Against {A8+, 88-QQ} (I expect a standard reraise with KK+) JJ has 65% pre-flop chip equity so if not on the bubble I would insta-call with fist-pump. Any advice on tools/methodology? Assume I'm a 2-1 favorite here, could/should I fold anyway? I recall Harrington mentioning something about folding QQ on the bubbble of a 1 table SnG, but that has a bigger payout difference between 3rd and 4th.