For religious reasons, no, (having gone to the best Catholic schools myself I ended up both agnostic and wild).
For purely academic reasons, "theoretically yes," but as the local secular high school our kids attend is among the top of the top in the U.S. academically (and outperforming most Catholic high schools nationally and certainly locally) we send them there.
Our priest is trying to start an Orthodox school, but if it actually existed we still would probably have our kids where they currently are, and I wager *most* of the local Orthodox families with high-schoolers probably would too (again, locally). Not to say we are doing the right thing -God only knows (Kyrie eleison).