When I was recovering from ACL surgery, I trained my good side a bunch because my thought process was that I'd rather have 1 strong leg versus 2 weak ones. You might see if you feel the same way.
If not though, you still have a TON of options with a single wrist injury. For deads, use chain suspended good mornings with your hip angle similar to your starting position on deads. It will have very similar carry over.
If your gym has machines, you have a TON of options for upperbody, both unilateral and bi-lateral. If you have a cable station, you can loop an ankle cuff around your wrist or elbow to bypass the wrist and still get in a lot of training.
Dragging a sled forward and backwards will hammer the crap out of your lower body as well.
Also, don't discount the value of bands and high volume. And then, of course, there is always ab and neck work, which tends to be neglected.