Well you could attempt to use a neural crossover effect like one would do with lower body. I've heard of this only a few times, though. I would also make sure you are sticking with your lowerbody work. Obviously, deadlifts would not be wise with a biceps injury, but lifts like the backsquat/lunge/stepup need to remain. You could maybe do clean and snatch pulls without aggrivating the bicep region too much, but I would imagine doing cleans and snatches would as you have to pull pretty hard on the bar to pull yourself underneath.
