You might not find an off-the-shelf base for it, but the action is a simple round shape, albeit a bit short. It's a bit short of space, but it ought to be a simple job to mount a base on it, for any workmanlike gunsmith.
W.r.t. the barrels, when the factory barrel gets shot out, you can have the old barrel (it has lug recesses as part of the barrel) removed, cut off the breech stube, and bore and thread that as an "adapter" for a new barrel to be screwed into. You want a good gunsmith or machinist to do this, it is straightforward precision lathe work.