The only one I've ever seen was a short Hoppe's nylon chamber brush type.
Sinclair makes bore guides for the 1895, but they work on the assumption that you remover the bolt (big screw on the lever; pull lever, remove bolt, reach in and remove ejector). It's not all that hard, and once you do it, you no longer need a flexible rod.
For cable pull-through cleaning, Otis make field cleaning kits with plastic-coated steel cables and pull-through brushes and patches. Scroll down
here to see examples. These have been around for awhile.