Earlier model Equinox are not towable without mods. You must have one with the 6T70 transmission, which is all 2010 and later, and 2008-2009 with the 3.6L engine (NOT the 3.4L).
With that caveat, the Equinox makes an excellent toad. Just check your tow capacity and GCWR on the motorhome vs the weight of the toad. Some C's have a 3500 lb limit, while others may be 5000 lbs. The Equinox will exceed the 3500 lb limit.
2004 American Tradition; 2014 Buick LaCRosse
Homebase in the Ocala Nat'l Forest near Ocala, FL