G'day. There may be a glimmer of hope. It is a bit of a grey area to me at this stage, but still some hope.
If one legally owns a handgun they might be able to carry it while hunting (with a rifle). If I was hunting with my .270 it might be acceptable to use a handgun to 'finish off' an animal or to 'manage' the vermin that you come across.
We don't have a lot of 'predators' that would attack an adult. Just need to keep away from water in the 'Top end' and you should be safe.
The concealable weapon permit does not authorize the use for hunting. Just need to find out if it prevents from carrying when hunting.
I feel for you, and wish you the best of luck in aquiring the firearms you need and want.
In comparison, I can walk into any gunshop in Arizona, and walk out with any firearm they have (full-auto requires a special stamp, but I've really no need for a machine gun). Rifle, shotgun, or handgun. Semi-auto, bolt, revolver, or whatever.
If I don't have a CCW permit (which pre-approves me), then they'll run an "instant background check". I fill out the forms, pay for the gun, and take it home. Once I have the firearm, I can hunt with it, carry it for self defense, use it for target shooting, or any other legal activity.
I can open carry my handgun(s) in the grocery store, hardware store, or down the main street of town if I want, and I'll be doing nothing illegal.
With a CCW permit, I can carry concealed in the same areas.
Now, some places ARE better to conceal at. Banks are one example, but overall, the actual laws here tend to be pretty permissive when it comes to firearms and their uses.
The various states within the US all have their own laws concerning carry, and some are far more restrictive than my state, but most aren't all that bad. I usually avoid states that are too restrictive, which is easy enough for me to do.
The only ones who obey gun laws are the law abiding, and the law abiding don't need to be controlled.
Daryl