Whereabouts in the country are you located?
Around here, I'd go so far as to say that country ham is salt cured just as a rule. Sugar cured ham is usually called "city ham." Wiki(for what it's worth) seems to back me up that "country ham" is salt cured by definition, although some Kentucky hams do "allow" for a small amount of brown sugar and/or molasses. You can't be too heavy handed with these, though, as the salt and the nitrates do the actual curing, and too much sugar inhibits it.
You MIGHT try asking for Smithfield ham. Smithfield ham is specifically from Smithfield County, VA but it entirely a salt curing process.
BTW, by definition all country ham is also smoked.