When I wrestled, guys would wear a face mask that attached to their headgear whenever they had a cut on their face or a broken nose. It was very uncomfortable, so I probably wouldn't want to wear it day in and day out, but it's a possibility for you if all else fails.
Cliff Keen Wrestling Face Guard (FG3) https://www.amazon.com/dp/B00073FZ46/ref=cm_sw_r_cp_api_i_tfrGFbGF8R79G
I’ve seen plenty of these in wrestling tournaments
This is the one I would recommend