As bad as it has been for Indianapolis, they have experienced even worse.
The record for latest 1" calendar day snow was... get ready for it... March 17, 1973.
The latest that the seasonal total reached 1" was on January 28, 1971. IND is currently at 0.9", so they would have to go almost 4 more weeks without even a tenth of measurable snow to break that record, which seems unlikely.