I have an ancient Farberware countertop rotiserie electric grill that does a fabulous job on prime rib, and capons, but, have never done a rib eye on it.
Can't imagine it would do a less than stellar job, however.
I prefer roasts on the Weber Performa rotiserie over charcoal, but, the daytime high temp on Christmas Eve is supposed to be about -5 degrees.

I won't be grilling anything that day.
Good Luck.

Merry Christmas.