Tod, It depends on what you are wanting to get out of the trip. I am assuming that you are coming back for more caribou with the boy. Are you wanting to float again?
You can look into flying with Wright Air out of Fairbanks all the way into the same area that BRA serves. It knocks one leg of commercial flight out of the logistics, but you are still flying nearly the same amount of time. With Wright's flying a Helio (you've been in one before) you have more options with where you are dropped off on gravel bars or hard grassy benches.
In Bettles there is an airplane "war" starting up between the new owners of the Bettles Lodge and BRA. Avgas prices, and plane rides for tourists are going back and forth these days. The Bettles Lodge now has a Beaver on Floats out at the pond, and a 180(185?) on wheels on the runway. I never asked if they were providing hunting transport services or just tourist sight seeing and rafting. Last July it looked like just tourists. Nothing stands out in the Transporter licensing listings.