Do you have a way to lock away the firearm when you're not around?
What need will this cabin firearm fulfill? Is it to just chase away pesky varmints? Or might it be used in a more serious self defense role? If the latter, what firearms are you proficient in the use of? If you get something you are not intimately familiar with you will fumble trying to use it under stress. That means getting familiar with it and practicing problem solving. Since you need to shoot a rifle/handhgun/shotgun enough that problem solving is second nature that eliminates such weapons as the plastic Keltec rifles and the High Points. Overall, they aren't durable enough to withstand that kind of shooting regimen.
I'm sure there are folks who have put a few hundred rounds through their examples and not all will fail right away but there have been enough failures that I wouldn't want to bet my life on it. Recently, a good friend of mine broke his 5.56 Keltec folder carbine from simply shooting it. In three shooting sessions he put around 100 rounds through it just plinking around and the plastic receiver broke from the stress. They aren't made for that kind of shooting. If this isn't a concern, that the firearm won't be shot enough to worry about it's durability, then be honest with yourself and realize the firearm for your cabin will just be for chasing off varmints and ventilating soda cans. In that case, a 22 repeater just might be the ticket.
What need does keeping a firearm at the cabin fulfill? Would it not be simple just to bring what firearms you want with you? Have you given thought to the affects of neglect? What if someone breaks into your cabin and steals it, or uses it to wait for you to return? Have you given thought to prevent this from happening?