I also have some physical issues that make riding drop bars difficult, if not impossible. On one bike, a Raleigh Competition GS with fairly "racing" geometry, I have the extended stem solution: a Nitto Dirt Drop w/ Nitto Olympiade bars and Tektro aero levers. I haven't quite gotten used to the look, but the comfort is great. I feel more upright than on some of my bikes with upright bars, and I have lots more hand positions to choose from (including the drops, which feel pretty good, actually).
Neal