NBA draft rights can persist for years. There are trades including draft rights for unsigned players in years past. My research found that the franchise needs to make some kind of offer, but if the draftee does not sign, the team continues to have rights to the player.
I ended up going to the game and it was a fantastic experience. If you're a hoops fan within driving distance of the Final Four site, check StubHub and SeatGeek while the 2nd semifinal game is being played. Make a provisional hotel reservation if you need on Monday night.
If prices are below...
@mshelton33 it was great to see you on the road a few times this year for FB and BB. Thanks Lou and Matt for keeping us informed by traveling to far corners of the B1G footprint.