You will have more luck during the latter part of January.
You have New Years, Marathon, and MLK Holiday to contend with in early January. There may be a few days in between these things that is a little better.
We were able to get a standard studio from January 4th to January 7th at 5 months out, but that was Friday, Saturday, and Sunday nights.
As for the grounds, they are absolutely beautiful, even in January.