The Center for Research Libraries has digitized and made available many U.S. Census materials including many of the non-population census schedules. Search Virgo with your terms and add the term center for research libraries to see what might be available.
Nonpopulation census schedules for Virginia, 1850-1880 - Micfilm 1883
The nonpopulation schedules after 1880 were destroyed by an Act of Cpngress and no longer exits. The nonpopulation census reports include the following four schedules:
Federal Mortality Schedules, 1850-1880 - Micfilm 2227
Gives information including name, age, sex, ract, place of birth, occupation, month of death, cause of death for people who died in the year ending June 1, 1850, 1860, 1870, and 1880. These schedules after 1880 were also destroyed when the other nonpopulation schedules were destroyed.