Westchester County Center has hosted this since 1999 as a holiday-week showcase for Westchester and NYC-area programs. Mount Vernon vs Xaverian-type matchups are the bread and butter. Recent editions partnered with the Crusader Classic at Iona, but the County Center remains the home venue.
National Prep Tournament in Fort Walton Beach, Florida takes both high school and post-grad programs. Applications stay open through October 31. If you want a competitive early-March slot without invitation-only barriers, this is the one to apply for.