I hunted sheep in Alaska this year for next to nothing. I just wasn't the one that was going to pull the trigger.
As far as the increased special draw, I think the state can do whatever it wants with its own resources, including raising license fees, decreasing tag allocations, whatever. They have no tenant that says they need to manage for NR hunters. If NR hunters get used as the main funding source then that is the fault of NR hunters, you can always go somewhere else or choose not to participate. It's up to the individual to decide how to allocate their own resources in a manner that suits their goals. Hell, you could cow hunt in damn near every western state every year if you wanted (for pretty cheap) but almost everyone has to chase the antler porn. Since everyone and their brother wants to hunt elk out-of-state, prices are going to go up, so prepare yourself.