I would think it would be more than enough to pull it. I have an 8 x 12 and have pulled it with my little 300 polaris exporer and my house is pretty heavy. If you had a set of chains for it, it would help even more. Of course once there gets to be too much snow on the ice there really isn't a wheeler big enough, unless there are plowed roads or you have a set of
KTRAX for the wheeler and skis for the house. If you put that thing in 4wd and low, it should be fine, maybe a little under powered, but if it's a smokin deal on the wheeler, I'd say go for it.