Habenaria medusa/myriotricha winter care

Hello all,
Just finished my first season growing this species, sort of unexpectedly. Had the plants in someone else's care for a few weeks and came home to dried up brown leaves. I unpotted it and found some decent looking corms, and I'm just wondering whether I should put these in the fridge, or whether a cool shelf is sufficient. They were potted in a mix of 50/50 peat and perlite with a bit of sphag thrown in. Should I rewet the medium slightly, repot them, and leave them on a cool windowsill? Or should I pack them in perlite and put them in the fridge?

Thanks!

 

Update: I put them in a bag and tossed them onto my bookcase and forgot about them. Probably not the most desirable over-wintering situation. A few days ago, I was chatting about them to Jacob, decided to check them and saw little sprouts, so I potted them up today!