just right off the top of my head.....maybe some type of rod holder that would clamp to the left side of the chair and extend to the middle (in front of the person)on an arm .....the rod holder its self could pivot backwards but attatched with a spring so it would go back in place (like a screen door concept). The person could cast with the right hand, place the rod in the holder, then reel with right hand....if bobber fishing they could set the hook normally but the spring would bring the rod back to normal position so the person could reel in the catch...could do a stop and go type retrieve with a lure also. Maybe you could make the holder swivel left and right for rod direction and tighten with a knob to keep in place........hope that made some sense, kinda hard to picture it in your mind then write it to make some one else understand.
I can only wish to be as good as my dog thinks I am