You could have tried different exercises to see which strained your wrist and which did not (with light weights) - it may be that pulling exercises wouldn't strain as much as pushing or vice versa.
However, the right answer is to just stay off your wrist and let it recover. Losing a few weeks is really not that big a deal, and re-injuring yourself is.
If you feel restless during that time, take the opportunity to focus on something else - lower body work, or cardio endurance...
I had a similar scenario last summer. I injured my knee and really couldn't do any lower body exercise. I took the opportunity to really focus on my bench press and let the knee recover. I didn't end up losing that much lower body strength and have long since gained it back.