Interesting question........no way to "manually" crossfeed bleed air through switches or such. Reviewing schematics, left and right bleed air plumbing has check valves on either side, assuring most pneumatic systems continue to operate if one side or the other fails (engine-out, bleed air line failure), but it appears that the "tee" to the brakes is upstream of this check valve, so it doesn't look like the brake de-ice bleed air would get to the failed side.
The single-engine limitation against using brake de-ice is probably simply to retain maximum horsepower in the (operating) engine.