While hiking the TRT on Labor Day I encountered more bikers than hikers, most of whom were well-versed in trail courtesy. However, some were not, screaming for passage going downhill at a very hasty speed. It's an old rule but uphill has the right of way, not that claiming it is all that important. One runner complained bitterly to me about nearly being run over by a swarm of bikers. Problem is we all have to compromise when on a narrow trail.
Horses go first, hikers second and bikers last.
If bikers do not control their actions, it may be necessary to limit trails to hikers or bikers but not both. Always yield the right of way to other trail users. Don't ride around snow patches, ride over to help melt snow. Minimize impact, don't skid. Don't make unnecessary switchbacks or cut between trails.