WEVR-FM River Falls WI (106.3) and their AM on 1550. They are a Soft AC station that has no website and no stream, sadly. All local, too, would love to hear them someday.
KYNR Toppenish WA (1490) also has no webstream and hardly any online presence. Yakama Nation Radio, mix of powwow music and a wide variety of pop/adult hits 1950s-2000s.
KLVF Las Vegas NM (100.7) no webstream, no website - adult contemporary format
Of course, there's tons more out there with no webstream but they do have a website - anywhere from bare-bones to updated with local news and weather info.