Hey welcome to the site. As you said tho your 10/22 may be considered a pistol, it does not matter. Any fire arm can be carried openly but as far as the law on ccw reads a holster does not constitute concealed.
So if you were to carry a rifle openly I would carry it slung or in some sort of holster. Then you have to be careful around hunting areas and hunting season. I brought up long guns a year or so ago, but as we are basically an open carry org. we would like to practice educating, and desensitizing the public to pistols first.
First step open carry of a pistol.