Most of the elite non conference tournaments have been booked years in advance. Would've loved to see Iowa in the Players Era 16, but not happening this season.
The best tournament with an unannounced field is likely the ESPN Invitational in Florida. Last year's 'Magic' bracket featured BYU, Miami, Georgetown and Dayton.
The Battle 4 Atlantis also has 1 single spot open. With Virginia, Marquette and A&M in the quadrant with an open
slot, potentially providing three Q1-2 opportunities before December hits.
With a solid noncon schedule already in place, don't think you'll see the Hawkeyes enter a tournament just for the sake of it. Has to be a good fit like last year's Palm Springs trip, which provided us winnable games against quality opponents.