After professional leagues have (re)started their seasons by successfully cordoning off their athletes from the rest of society, they have been able to play the games without risk of COVID-19. As long as players are not interacting with the public, they cannot bring the virus into the sports infrastructure.
Because of that, each conference should be focusing on how to execute the basketball season as an island. No doubt, the conferences need guidance from the NCAA in terms of postseason start date, contingency plan to it, and minimum requirements for postseason participation. Even without the guidance, there is a clear calendar opportunity for conferences to burn through at least a portion of their conference season.