Promag has adapted mags for the 10/22 that plug into the Ruger rotary mag socket but feed inline. This one holds 32 rounds of .22LR.
http://www.promagindustries.com/product-p/rug-a9.htm
Clearly, they have a solution to the rimmed cartridge feed. It might be physically limited to fewer rounds on a bigger cartridge. They also have a 70 round drum for the 10/22. That thing must be a PITA to load, but you can see how the rounds travel.
http://www.promagindustries.com/product-p/rug-a30.htm