Found a recent thread on whiteblaze that has some pointers to sites I'd not seen before.
In particular I followed the HnryClay (who has posted here...maybe is coming??) pointer to the Appalachain Trail Weather Database that has an entry for every shelter, including of course the Wise Shelter with a link to a NOAA forecast..
Right now that gives a temperature range of 24-46 for Friday, and 23-38 for Saturday. Low for Sunday is not yet forecast.
Guessing the ground will be a little wet up there.