For airthrow followups, it depends on the height of the airthrow and how close you are to the corner, but i usually do something like:
5S, CL, 5K, 6P, CL, 2S, CL
5S, j.P, j.S, dj. S, CL
5S, j.P, j.S, CL FRC, etc…(super jumping makes it easier)
2K, 6P, CL, P, K, CL ( for heavies)
Its pretty flexible as to what you can do. And if you have meter you can insert FRC CL combos like normal. She does have great throw range, I use throws alot with her, its her best defense.
For big damage combos after dash H I would chain into 6P, 5H, CL FRC combos. Especially if you were using half tension for dash H, 5S, 5H, super. If you use FRCs rather than the super, you could try dash H, 6P,5H, TK CL Frc, dash H, CL or dash H, 6P, 5H, TK CL FRC, dash 236P, 5H, CL, 5H, CL in the corner (venom/eddie). If you dont like TKing the CL, then dash H, 6P, 5H, j.H, CL FRC combos as well.
after crouching slash, chaining into 2D is a safe bet. If they are standing, you can chain into CL (and more if you JI’d before hand) and if they are crouching, 2H, 41236S (#R only)