I brought just one board - a Prior 4WD 169 -- to N.I.C.E. a few weeks back. It worked great for 2 days of groomers and one pretty deep powder day - about 10" overnight and another 6-8" during the day.
It did not compare to riding a dedicated powder board for the pow day, but I never got stuck, and definitely got some epic powder turns. I imagine the Coiler AM is a fairly similar shape (at least in terms of surface area), and would work as well as the 4WD for powder. I would just bring the AM -- if there's a really huge dump when you're there, you could just demo a powder board. It shouldn't be too hard to find a Fish or something similar to rent for the day, and given baggage fees, that might even be cheaper than bringing two boards.
That brings me to the other nice thing about the one-board quiver: I was able to put all my riding clothes, my streetwear, and my boots in my board bag, along with tools and my board and bindings, and it tipped the scales at 51 pounds (I was ready to take out a sweater, but they let it slide). The only thing I had to carry on was my helmet -- pretty handy.
Have fun on your trip, let us know how it goes!
"Is that more fun than snowboarding?"