SSAT score good for Exeter, Lawrenceville, Andover, Deerfield, or Hotchkiss?

For most of the “top” schools, a 93% is perfectly fine. It alone won’t get you in, but neither will a 99%.

If you have very good grades, an excellent SSAT (which you have), good ECs, and are a decent person in the interviews showing enthusiasm for the school, you have an equally decent chance of getting in.

Best of luck.