Best bet might be to heal, regain some fitness, and then see what your body tells you you need.
As carbonfiberboy notes, drops aren't a hugely increased strain, and not on the shoulders (if the bike is set up right.) But for the same reason, riding the hoods isn't a loss. You can get about as aero on the hoods---it has more to do with how far your torso and hips allow you to bend and stay bent.
When I rode a flat-bar commuter for distance, or into the wind or whatever, i found the same thing---I would bend all the way down until my face was dangerously close to the stem and reach up with my hands to grab the bars, to get my body under the wind. Same body position as in the drops or on the hoods and bent down.
Also, how you will heal is unknown. I think a lot of doctors err towards the side of being crippled ... they want people to do mild exercise in swimming pools and otherwise live in padded plastic bubbles to limit any chance of injury. Quality of life has no meaning, and risk management is insanity to them ... they want everyone to live in their beds until they are 100. get a doctor who rides and I bet you get different recommendations.
But only you will know how you will feel and it will be a while until you do. Look through catalogs and see what looks appealing ... but you might be pounding the pavement on that Roubaix and training for a full century by Christmas. Who knows?