I can't speak to Inland aviation (I have never heard of them) but I can tell you great things about Papa Bear Adventures. I have been on numerous trips with them and they always do a great job. I have harvested moose, caribou, sheep, bears, and a bonus wolverine, plus some excellent fishing as well.
The cost of hunting in Alaska has gone up substantially. Like most things in life, you get what you pay for. If this is your once if a lifetime moose hunt then save your money and go with the air taxi that will provide the best hunt period. Make sure you ask the right questions. Like does the cost of the trip include flying the moose meat out or is there an extra charge for that? Does the price quoted include moving your camp if you aren't seeing animals? Talk to hunters that have flown with them the past few years, especially the ones who didn't harvest an animal.
Let me know if I can answer any specific questions about Papa Bear?