You can view or download a list of .gov.jm domains.
The listing is compiled from the "Government Links" list provided by the
Jamaican government at http://jis.gov.jm/government/links/. Domains from that
list not ending in .gov.jm are excluded from this listing.
To see if the Government of Jamaica would be willing to provide a canonical listing and provide it on the Jamaica Open Data Portal website as a dataset.
To develop a utility to generate the listing.