Jordan, a couple of things to consider for your group:
1. Your budget is realistic for an unguided moose hunt. Expect your "overage" budget to reach out another $1500 for stuff like commercial air travel and shipping gear and meat back home. If your total budget is $6500, that means your bush logistics and raft rentals fall into the range of $5000 per person. But, if you are working with a budget of $6500 each plus "overages", then you're in better shape to do it right.
2. That said, I would contact Wade Renfro (Renfro's Alaskan Adventures) out of Bethel, AK to get dropped off onto one of his better DIY moose hunt areas. he has smaller planes than Papa Bear and can get you into more secluded spots for a float trip. I believe his flat rate quotes are in the neighborhood of $5500 per person for air and raft rentals combined. His success rates for two guys and moose are really good. he hunts out of GMU 18 and I believe lower GMU 21/22. Give him a call to pick his brain about areas, but you won't be disappointed. 907-545-4135
Good luck, man. IMO, doing right the first time will save you some painfully expensive regrets.
larry