You can only go to the same event once every 4 years so wouldn't be Maui eligible again until 2022-23 season.
That seems fair.
So here's a list of ones that have Big 12 teams this year so could be a potential list:
Charleston Classic - Charleston, SC
2k Empire Classic - NYC
Cayman Islands Classic - Cayman Islands
Hall of Fame Classic - Kansas City, MO
Maui Invitational - Maui, HI (NOT ELIGIBLE 2021)
Battle 4 Atlantis - Bahamas (NOT ELIGIBLE 2021)
Emerald Coast Classic - Niceville, FL (Our canceled tournament. Maybe not eligible?)
Diamond Head Classic - Honolulu, HI
NIT Season Tip-Off - NYC
Wooden Legacy - Anaheim, CA
Here's one without Big 12 but other P5 schools:
Myrtle Beach Invitational - Conway, SC
Jamaica Classic - Montego Bay, Jamaica
Junkanoo Jam - Bimini, Bahamas
MGM Resorts Main Event - Las Vegas, NV
Hall of Fame Tip-Off - Mohegan Sun Resort, CT
Fort Myers Tip-Off - Fort Myers, FL
Roman Legends Classic - Brooklyn, NYC
Cancun Challenge - Cancun, Mexico
Orlando Invitational - ESPN World of Sports, Orlando, FL
Gotham Classic - NYC