32 appears to be the golden ticket for an athlete’s acceptance into a top LAC. A coach said 28 if you are a freshman starter (a stud), 30 if you can contribute as freshman, and 32 for someone who will contribute in future years. I am glad S2 gave it a couple tries.
My experience at a merit aid school was similar. S1 increased his half ride to a three-quarter ride after his fourth ACT and my subsequent negotiation.