From The Spokesman-Review; February 12, 1982. I'm not sure if their listings were entirely accurate, though, as I'm pretty sure 105.7 was "Rock 106" by this point.
AM:
590 – KHQ (NBC)
Contemporary adult music 24 hours a day.
630 – KZUN (ABC)
Adult contemporary country 6 a.m. to sunset. Bringing albums to life. ABC News.
790 – KJRB
Contemporary top-40 24 hours daily.
920 – KXLY (CBS)
Contemporary MOR music and news 24 hours daily.
970 – KREM
Soft rock 24 hours daily.
1230 KSPO
News 24 hours daily.
1280 – KUDY
Gospel programs and music 6 a.m. to sunset.
1380 – KCKO
(No description)
1510 – KGA
Traditional country-western and news 24 hours daily.
FM:
89.9 – KEWC-FM
Rock, easy listening, jazz and country music noon to 1 a.m. Sunday-Friday.
90.3 - KWRS-FM
Rock, jazz and classical music 6 a.m. to midnight
91.1 – KPBX-FM
Current affairs, classical music, jazz and folk music, 5 a.m.-midnight Sunday through Thursday; until 1 a.m. Friday and Saturday.
91.9 – KSFC-FM
Adult contemporary rock 24 hours daily Monday-Saturday.
92.9 – KREM-FM [stereo]
Album-oriented rock 24 hours daily.
93.7 – KDRK-FM [stereo]
Contemporary country and news 24 hours daily.
96.1 – KZUN-FM [stereo] (ABC)
Contemporary album country, live and in stereo 24 hours. ABC News.
98.1 – KHQ-FM [stereo]
Contemporary music 5:30 a.m. to 2:00 a.m. (Saturday 7 a.m. to 2 a.m.; Sunday 7 a.m. to midnight).
98.9 – KICN-FM
Gospel music 6 a.m. to midnight daily.
99.9 – KXLY-FM [stereo]
“Beautiful music” and news 24 hours daily.
105.7 – KEZE-FM [stereo]
Adult easy listening 24 hours.
107.9 KMBI-FM [stereo]
Religious 5 a.m. to 1 a.m. Mon-Sat; Sun 6 a.m. to 1 a.m.
AM:
590 – KHQ (NBC)
Contemporary adult music 24 hours a day.
630 – KZUN (ABC)
Adult contemporary country 6 a.m. to sunset. Bringing albums to life. ABC News.
790 – KJRB
Contemporary top-40 24 hours daily.
920 – KXLY (CBS)
Contemporary MOR music and news 24 hours daily.
970 – KREM
Soft rock 24 hours daily.
1230 KSPO
News 24 hours daily.
1280 – KUDY
Gospel programs and music 6 a.m. to sunset.
1380 – KCKO
(No description)
1510 – KGA
Traditional country-western and news 24 hours daily.
FM:
89.9 – KEWC-FM
Rock, easy listening, jazz and country music noon to 1 a.m. Sunday-Friday.
90.3 - KWRS-FM
Rock, jazz and classical music 6 a.m. to midnight
91.1 – KPBX-FM
Current affairs, classical music, jazz and folk music, 5 a.m.-midnight Sunday through Thursday; until 1 a.m. Friday and Saturday.
91.9 – KSFC-FM
Adult contemporary rock 24 hours daily Monday-Saturday.
92.9 – KREM-FM [stereo]
Album-oriented rock 24 hours daily.
93.7 – KDRK-FM [stereo]
Contemporary country and news 24 hours daily.
96.1 – KZUN-FM [stereo] (ABC)
Contemporary album country, live and in stereo 24 hours. ABC News.
98.1 – KHQ-FM [stereo]
Contemporary music 5:30 a.m. to 2:00 a.m. (Saturday 7 a.m. to 2 a.m.; Sunday 7 a.m. to midnight).
98.9 – KICN-FM
Gospel music 6 a.m. to midnight daily.
99.9 – KXLY-FM [stereo]
“Beautiful music” and news 24 hours daily.
105.7 – KEZE-FM [stereo]
Adult easy listening 24 hours.
107.9 KMBI-FM [stereo]
Religious 5 a.m. to 1 a.m. Mon-Sat; Sun 6 a.m. to 1 a.m.