That is basically all correct.
180 lbs is over the weight range that will work well on the narrow boards which max out at 151 cm.
I am unaware of any models in popular boards that are technically a "fit" for a good all purpose deck for your size 7 feet in the sizes that are required for 180 lbs.
The Alps will make this even harder as the conditions are often hardpack/ice. This typically favors going a bit stiffer and a bit longer in terms of effective edge.
When your feet are inside the confines of the board's edges you end up not having the leverage that is available to riders who are at, or just outside of the edges.
Personally I would suggest that you get a board with some form of Magnetraction, Grip Tech, etc. This will get you the most out of the leverage that you do have and will help you bite into the hardpack that you will often be riding.
Apologies if this sounds like bad news but these are the choices that we have to choose from.
Last edited by Wiredsport; 10-08-2012 at 10:34 AM.