If there is a Nautilus type gym around you, or if your gym has a pullover type machine where the elbows are placed on pads, might try that. Also Pec decks or shoulder type machines (lateral motion), where the elbows are the main focus of moving the resistance. Place a BB (off a rack, usually) in the bend of the arm, little higher than 90 degrees, and do front raises for the anterior delts.
If you have a good training partner, than he can apply resistance for some of the above mentioned exercises. Even arm movements. Just have to plan out a reasonable workout plan for you. Let your imagination find inventive ways to train. The wrist is undergoing a setting process, so no pulls or pushes, of course.
You should not lose much in muscle mass in 6 weeks, but some. Taking time away from normal training, the body begins to lose it's former higher state of fitness usually within 2-3 weeks, depending on the individual. I noticed that BB'ers who only train for the extreme pump, tend to lose muscle size faster.....just my personal view. While BB'ers who train heavier seems to retain most of their size. Also never want to work one side of the body while the other side heals....not the best of ideas. Good Luck.