Ton, even with a duff wrist there is no reason why you couldnt use a proper road bike, when im in the drops my wrist/forearm are in the same alignment as when im holding onto a wide MTB bar, the twist is in the shoulder and elbow. Plus you can get about a million variations of bar with different angles, drop distances, reach distances, widths, splayed at the bottom (cx bars), all of which suit only a few people, im sure there will be one for you too.
And as for the flat bar advantage of visibility during the commute, does not exist, totally down to set-up, if you want a high setup on a drop bar’d bike its easilly acheivable. I have this on my commuter, high bar for riding in traffic (same place id put a flat bar) but with the option of drops to tuck into on fast downhills and into strong headwinds.