The marlin papoose is a very nice pack rifle, but kinda bulky to pack. It is easy to mount a scope on which would be nice for 100yd accuracy.
I've heard mixed reviews on accuracy and reliability on the AR-7 rifles that pack in a floating buttstock.
Springfield armory made the M6 pack rifle with a 22 on top and 410 shotgun on bottom that broke down. They pack flat and don't take up a ton of room, but had a different trigger design and weren't known for accuracy. I'd look elsewhere for what you describe. They can be found used, but you can build a good 10/22 for the same price.
For what you describe and a chance at larger varmints I'd step up to the 22 magnum. It will take any small game or varmint you want out to 100yds or a little more. If it was me I'd put my Ruger M77 all weather in 22 magnum in the eberlestock
scabbard and head out. It weighs about 6.5lbs with scope and is a real tackdriver. It gets a ton of use around the ranch.
If you might want to eat something you shoot with the 22 mag be careful what bullets you use. Mine is most accurate with the hyper velocity 30gr HP or polymer tipped bullets, but they make a mess out of small animals. If I want to shoot edible critters with it I use the CCI 40gr full copper jacketed bullets. Dialed in with those I can also use the 40gr HP bullets for varmints with the same POI.