It sounds like you're just not driving on the right public roads.
In the US, to name just a couple, there are:
- Hells Canyon, Idaho
- Saddle Road, Hawaii
- Mulholland Highway, California
- Route 9W to Storm King Highway, New York
- Route 348, Helen, Georgia
- M119, Harbor Springs, Michigan
- Highway 1, Big Sur, California
In the UK: - Horncastle to Louth
- Cat and Fiddle
- Evo Triangle
- Forres to Alford
- Black Mountain Pass
- St Ives To St Just