Why would that be a problem?
If you notice your gun is missing and you can't find it within a day or two, report it missing to local law enforcement. How hard is that?
What if you're not planning to be anywhere near local law enforcement for the next 5 days? And, yes, people do that. I'm looking over a map for the Continental Divide Trail. I see one spot where the next resupply point is 182 miles away. If you can't even buy food or get mail I seriously doubt there's any law enforcement presence. I just examined the satellite view and went more than 70 miles with no signs of mankind even at a very high zoom--and I'm not even sure what I found in the middle of the section is actually of human origin. If you lose your gun out there are you supposed to blow a couple of days hiking out to civilization to report it? (Yes, I picked the hardest trail--because it doesn't go through any gun-unfriendly states.)
If your **GUN** is stolen, you should make a plan to be near law enforcement and report it. Or near enough that you can make a report (cell phone, which see (and yes I know about cell phone coverage, I don’t have it at my home. We know where to drive to in order to obtain it.))
If your **GUN** is stolen and you live 182 miles from law enforcement, one would think that you’re smart enough to make it a point to find out who,
with your gun, is between you and the law enforcement.
If someone has broken into your backcountry home and stolen your gun - are you so stupid you’d just say, “eh, maybe next month.” ?
If your gun is stolen, why do you not care?