"....wouldn't it work well to cross something like an F3 back to one of the F1 plants(assuming you saved a plant/seed)? is there some sort of problem this causes that it wouldn't work? I would think that would give you a plant almost the same as the F1."
Depends.
That can help if it's a simple 2 parent cross....but it's my guess that Super Chili Hybrid is a multi-parent cross as evidenced by the high rate of variability reported in the link I posted above....it that case, back-crossing isn't so reliable.
~Dig
a high rate of variability can't be correlated with a multi-parent cross.