We stayed at the KOA in West Glacier last September, and rented a car from one of the helicopter tour companies. The picked us up at the KOA and brought us back at the end of the rental. Glacier Heli Tours, telephone 406-387-4141.
The KOA is a great park and quite isolated from the road, and I am sure you will enjoy it. Good choice.
I used Glacier Heli Tours last time I was there as well. Convenience trumped price. They were I think about $35 / day. There are bunch of rental places near the airport, and it'll save you some coin - but you'll need to add about 30 minute drive each way for pickup and dropoff.