Instead, set up a lot more levels of each sports, and let each person compete at a level that makes sense for them, varsity, JV A, JV B, JV Z, club, intramural, etc.
I'm a male, and when I entered high school, I weighed 100 pounds. There was no way I could actually play on the football team. I could try, and sit on the bench, but that's all. I picked something else I could be good at. If they had a level with kids about my size, I still wouldn't have been that good, but I could have participated, got some exercise, improved, and had fun. And that's what sports should be about. All this focus on college scholarships twists the focus of sports around the wrong way.
Get rid of all college scholarships for sports for all men and women. Throw the whole college sports complex with million dollar TV deals and ticket sales out. Bulldoze the huge college stadiums and arenas. Turn them back into simple fields.
If you're really, really good at basketball, join the Overtime league, and make your way to the pros that way. But for the 99% of high school athletes who will never make it to the pros, add more levels, so anyone can participate, and bring back fun.