Arizona to Seattle is a long run and beyond the non-stop range for most of the pilots and planes on this site.
I would not rule out General Aviation because of that however. The first thing I would suggest you do is for you and your Arizona counterparts to buttonhole the corporate aircraft owners or managers based in your respective areas. Plead your case and see if any with turbo prop or jet aircraft make runs between the two places, and if they do, see if they want to be good citizens by doing rescue flights.
As an alternative you could go to Steve's map and contact the pilots along the route to see if there is any interest in doing a relay, which might take a couple of days and require someone to foster the pups during the overnight.