If you have a compatible gun, I've found the old M7 military shoulder holster with chest strap works well. Modern reproductions can be found online for only about $40. The gun rides comfortably on or a bit below the left chest. There is some controversy as which shoulder the primary strap should go over. Some say it should go diagonal tanker style over the right shoulder; others prefer left shoulder carry with the chest strap to stabilize. As a Navy dental officer I took my cue from the Marines in Vietnam and adopted the left shoulder arrangement.
I find this holster, with the 1911 pistol, to be one of my favorite woods walking rigs. If I'm travelling light the Colt Woodsman also fits just fine. A P'08 Luger also fits, so I imagine the Ruger .22 autos would also be compatible.
In the winter the setup works well under a heavy coat zipped up far enough to hide the chest strap. It's more accessible than a conventional underarm shoulder holster or buried strong hip belt holster. Of course there's always the snubby revolver in the coat pocket. Which is primary and which is backup would depend on time and circumstances.