Hundreds of thousands of Chinese count Song and Ming emperors among their ancestors, but it was the Ming who attracted the most appeal because it was considered an idealised era in Chinese history given it was the last Han Chinese dynasty to cement its rule over the country. The
Yellow Sand Society would be an example of a relatively powerful peasant movement that remained active until the early days of Communist China. But they were poorly organised and their armed uprisings dispersed whenever they encountered more powerful forces. Monarchism wasn't really their main focus either, although they backed claimants (mostly Ming Dynasty claimants).
In general it seems most Ming Dynasty claimants/imperial claimants in general are associated with peasant movements, and thus lack organisation to seize power. However, some intellectuals desired the Marquis of Extended Grace (a descendent of the Ming Dynasty) to be installed as Emperor, although greater calls were given for installing Confucius's descendent as Emperor.