i think it's a solid play if your push has decent fold equity, but no matter what it's just a huge n-way coinflop b/c i think you can expect 1 or 2 callers there everytime w/ those pot odds and the fact they know you're not that strong. i think i might have just called and hoped to flop a hand before pushing b/c of that.
i actually think you are below 1/5 to win w/ all those As out...lemme check...no you're 20.7%.