Okay, IMHO in a bug-out bag you need a medium sized handgun, a few reloads (either a pair of mags or three speed loaders) and a spare box of ammo.
In a bug-out situation the 22LR just doesn't stop the two legged troublemakers with enough authority.
And remember, it's a BUG-OUT-BAG, it's something you are going to be using to live out of for a day or five as you get to your new location. So don't plan on choosing the gun inside to be a hunting firearm to harvest rabbits and squirrels with. You can go 2 weeks without food. A couple of MREs in the bug-out-bag is smarter than trying to go squirrel hunting in the middle of a disaster.
Now, in the cabin where you plan to go hunker down until things get better, there having a month's worth of food, water, a 22 rifle for hunting, and 1000 rounds of ammo is a good idea.
On to the guns you've chosen.
The combo 410/22 LR actually has a heck of a bad reputation. The original was actually 410/ 22 hornet and much better made. I'd skip that combo gun.
The Mare's Leg. I have no idea how you are managing to shoot it accurately, but I sure can't. In a situation where I'd need to shoot it I think i'd find a short chunk of 2x4 and some duct-tape and jury-rig a stock. Shy of that, no, it's a real bad choice.
Honestly, if it was going to be anything other than a trusty sidearm, I think the NEF/H&R single shot shotguns would be ideal. (Rossi makes them too) Combine it with a chamber conversion to shoot 22, throw in 5 rounds of buck and a 100 round pack of 22 and you are good.
Ideally a converter would be about 12 inches long, that'd be enough to get decent velocity and accuracy out of a 22.
I did a very quick google search, here are three
http://www.gaugemate.com/purchase/gaugemate-cartridge
http://shotgunadapter.com/
http://www.mcace.com/shotguninserts.htm <--- long ones
You know, it might be just as easy to get a whole second barrel vs a converter. Converter would take less space though.
I'd rather have this that the M-6 scout!
This would be another option, especially with a converter, but you can easily get a 2nd full barrel
NOTE: the above are both 20 gauge. IF YOU NEED A SHOTGUN, FOR DEFENSE, FOR HUNTING, FOR WHATEVER, YOU NEED SOMETHING BIGGER THAN A 410