If the news report is accurate (!?) the first responders fired up a PLB to ramp up the search. This suggests extremely limited comms in the area. 
   The  
Denali Highway is a 135 mile road, mostly gravel open in the summers, with a fair  bit of use by hunters in the fall going after the Nelchina Caribou Herd. Even in summer there are very few services out there (a lodge and a few campgrounds). It is very remote in winter, though snow machiners travel it.
A slightly different news report 
 Wildlife trooper helps rescue overdue trapper, wife near Cantwell I don't know what comms the troopers may have  out there. If anything, they might have a repeater or  two. I would speculate that if the Wildlife Trooper was in a dead zone and didn't have direct comms where he found the lady, he may have used the PLB as the quickest way to alert the RCC. The RCC can activate  the  PJs and Pavehawk from the Air National Guard who would be by far the best option for quickly getting advanced medical aid to the hypothermic woman. (Severe hypothermia is very tough to  deal with  in the field.) Once the RCC had a C-130 Herc overhead, the Trooper could talk directly to them.
 I wonder how much the rescue will cost them?  Buying a decent radio system would've been cheaper.  
 Easy to say, but a radio is of little use if you are out of range of anyone,  or if no one is monitorying that channel. An Iridium Sat phone would work. (Global Star sat phones don't work too well in Alaska, since GlobalStar's satellites are very  low in the sky up here.)
Regarding costs, the  RCC, C-130 Herc, Pavehawk, and PJ's do it for training. A win-win, in that the military gets the most realistic  training possible for  their primary mission, and the  public gets help in difficult situations. The  volunteer searchers are...well...volunteers who work for free. The only real  cost in this case would be the Wildlife Trooper's time.
Without knowing more  details, I  can't comment much on the rescued couples preparation, or lack thereof. It is all too easy for us to use our 20/20 hindsight to Monday morning quarterback these cases. Note that  the gentlman was able to get a fire going and stay put until rescued. Why the woman burned her sled I have no clue. I think that to be in your sixties and out living the trapping lifestyle is commendable.