The gameplay seems okay to me, other than the Snowmen. I like them and I think you should keep them (at least in the picture) but I don't see their purpose.
The Dogs and Snowmen are 'dead-end' regions, correct? The Dogs give a +1 bonus, but the Snowmen don't seem to do anything and go nowhere... are they a part of the region Team bonus? If that is the case (as I suspect it may be) then I think the Team bonus should be a little higher, as the Snowman represents a vulnerable point to be attacked, but cannot attack in return, and each of those teams lacks a third Thrower. I realize that those teams also have a Dog which the other teams do not, but they still seem horribly vulnerable and difficult to hold, especially since I think most of the other teams will gang up and go after the Dogs. Perhaps a +4 bonus, or something to compensate?
Also, should Team 8 have a Snowman or something since they have a Dog? Or a reduced Team bonus, like +1?
I think it would be nice to get this map going for the Holidays, hopefully we can get any issues sorted out within the next week. As Evil D said, the gameplay is somewhat unique and so perhaps Beta will be the only way to really tell if it works.