Have you talked to anyone at Federal Air on connecting to their flights?
My previous experience with them is they offer two basic services. One is a shared lodge/camp shuttle and the other is private charters. If you are flying on one of the shuttle flights, there is a common pickup at a prearranged location for the flight. It can be at one of the shuttles or at another location. If it is a private charter, they will send a minivan for you basically anywhere on the airport property (terminal building or one of the hotels on the airport property). All the meet and greet folks will have to do is get you and your luggage to that rendezvous location.