> This might be private property, but access to existing cemeteries seems to be in the public interest. <
Very true. But on the other hand, what landowner would want strangers on their property? A reasonable compromise might be an ordinance allowing families access to such a cemetery on Sundays only, from say 1 PM to 5 PM.
It will probably result in the shortest and easiest access to the public highway.
Determining the bounds of the cemetery is another thing.