Are you in the Tri-State area of New York since you currently have SNY? If this is the case YouTube TV live streaming service carries SNY as part of their Regional Sports package.
If you do decide to cut the cord (cable portion) you would still require the Internet portion from your cable company. If you are not in the Tri-State area to receive SNY, you can also watch the UConn games via FoxSports App on phone, computer, ROKU, Smart TV Apps.
Was going to direct you to a thread that was pinned at top of page along with Boneyard Rules that
@HuskyNan put up but I don't see the thread any longer. I'm assuming because SNY is done for this year and all NCAA tourney games will be on the ESPN family channels.