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Many thanks for the suggestions. I finally got an opportunity to do some experimentation this past week, and discovered I could hold the camera just fine in my left hand, and even adjust the zoom ring. Snapping the shutter is accomplished via a remote release held in the right hand.
If anyone finds this thread looking for a truly one handed solution, you might consider a “bite switch”. There are a few suppliers for this type of device, the one I located in my searching around for various ideas was from Michael Bass Designs.