Personal choice would be the .22LR/.410. This is in part because I already have other guns in those calibers. But only in part.
One has to remember just what the Savage combo guns were intended for. The were meant to be survival/camp & pest guns. Not dedicated hunting guns (to which they are inferior in many ways) but a single gun, firing a wide enough variety of ammo to be able to keep you fed in a pinch.
Not the best at a lot of things, but good enough to work, at short ranges. Some models had butt traps to hold ammo.
.22Rimfire is enough for all small game, without being too much, even for the smallest game. For me, I never had a situation where the .22WMR was either needed or more useful than the .22LR. IF you NEEDED to take a larger animal, they make these things called slugs, and even the "puny" .410 will take bigger game better with a slug than any .22 rimfire, WRM included (within its range & accuracy limitations).
If I need something more than the .22LR can deliver in a rifle, I go to the .22 Hornet next. Reloading the Hornet makes it cheaper than the .22WMR, once you have the brass and start up costs (dies, etc.) covered.
Stored with a couple boxes worth of ammo (some of each important load), in a boat, canoe, plane, or other vehicle, it takes up very little room (less if stored in a case broken down). You might think its heavy, but I never found them heavier than a repeating rifle or shotgun, and certainly lighter than two guns. Not big on firepower, but not meant to be.
Single aimed shots at edible game, at short ranges is their purpose. Sure, you can do that job with lots of guns, guns which would be much better at other things as well (sport hunting, personal defense, etc.). But having one single gun package, as "insurance" makes sense to some folks.
Some put one of these types of guns in their camp equipment, not with the intent of using it regularly, just wanting something just in case its needed. Potting the heads off bunnies with a deer rifle can be done, its just neither easy nor simple with a dedicated big game rifle.
You can cut all the wood you need with a hatchet (and a lot of sweat). An axe is usually better, and neither one is a sword or a compound bow. No body belittles the hatchet, for being only what it is. Why do it to a particular gun?