Fold it.

Against AA-QQ you're a huge dog.
Against a PP you're on the bad side of a coinflip
Against Ax you're a decent favorite.

It all adds up to at best an even money situation. Since they have demonstrated already they are bad players, you should have an edge against them and thus stay out of high variance coinflips and instead focus on using your edge.

Well I've played a few SNG's since this post and I stopped calling with mid pp's and big aces early on to an all-in, one time i folded JJ to a donk that raised all-in after 4 limpers w/ A3 that i regreted but i've found that its best to only apply this edge when you have 2x someone elses stack and i like to be on the pushing side of it with a PP great way to put your opponents on tilt or get lucky and knock one out