Title IX, whether you agree with everything in it or not, only applies to women/girls. Girls can play football, baseball, and wrestle. Boys can't play girls only sports, in the 1st 20 years of Title IX girls participation in sports went from 300,000 in high school to 2.78 million.
And I don't think there is a problem to be solved. Girls have a right to wrestle, boys/schools have a right to not wrestle girls.
Per Title IX, you are wrong:
Title IX of the Education Amendments of 1972 is the federal law that prohibits sex discrimination in education. Title IX says: "No person in the United States shall, on the basis of sex, be excluded from participation in, be denied the benefits of or be subjected to discrimination under any education program or activity receiving Federal financial assistance."
