My advice is - don't:
* Sure, you could pouch, but that means you need a stove that puts out more BTUs and has some kind of simmer control, both not really available with a simple alcohol burner.
* However, perhaps more significant is the clean up - cleaning the fish, cleaning your hands, and washing your cookware.
When you come back from a (regular) fishing trip, you probably don't really consider the amount of water & soap you use (especially if cleaning over a sink). Now, consider both carrying sufficient cleanser, and where to dispose the suds, etc. Basically, it's a big mess best kept away from bear country like Rae Lakes.
Over the years, the more I've fished, the less I even want to eat all the fish. If you're really determined to eat your catch, you could keep some the last day you hike out. I'll do that now and then, especially if I'm only a few hours out. Either grill @ the car/TH over a fire, or drive down to town (easier to do on the east side) and put it on ice.