The scenarios on page 24 list several options for playing on Tuesday.Not correct. HAVE to be finished on Monday. Not sure if that means game HAS to end at midnight or what exactly but does spell out Monday only.
http://www.ncaa.org/sites/default/files/2018DIMBA_HostOpsManualPrelRdsRevised_20180517.pdf
On page 8 it says:
"All regional competition should ideally be completed not later than the Monday before the start of super regional competition"