It is tough. I have three press teams at D1. Penn (Allen), Baylor (Smith), and Southern Mississippi (Wooden) but my M2M team (San Diego State- Rupp) has done the best. If you are good enough you can run the press with 9-10 players with high stamina like hawkfan1991 did in knocking me out of the Elite 8. Here was his UConn team.
https://www.whatifsports.com/hd/TeamProfile/Roster.aspx?tid=4273
I like to run my press teams 10-12 deep. You have to scout wide to get enough players and occasionally have to gamble on one that you haven't scouted past level 2.