I understand the Title IX implication. I didn't bring up a men's sport, because I wanted to discuss which women sport would be eliminated. Since you brought up the men's, it's a fairly easy decision, eliminate the non-revenue mens sport that's least popular....how about Rugby and it's roster of 59 players. I'm curious how many scholarships are offered for Rugby?
For women, it's 12 in NCAA DI or DII. For men, none.
http://www.scholarshipstats.com/ncaalimits.html