Its highly unlikely to be WHON. Their format/playlist is exactly in line what was recorded.
WHON is around 560 miles away at 114 W with a nighttime pattern as a blob to the south and Minneapolis is in a deep null.
KKIN has a non-directional nighttime pattern with 360 W at about 100 miles away.
However, this assumes both stations ran authorized power on the authorized pattern.
If WHON messed up and ran day power (500 W) on the day pattern, its still a blob to the south and Minneapolis in a null.
While listening now to 930 trying to pick out stations, heard music from the 70's & 80's, consistent with the format of the original station that Matt_B recorded. Got a clear ID of
WFAT 102.7 "The Fat One" at 0121Z and 0129Z (21 Apr 2020). This station is in Battle Creek, MI with 1000W nighttime power with a huge bubble to the NW, which encompasses Minneapolis nicely. 102.7 being their translator (W274AQ). They have been ID'ing frequently, every few songs or so.
So back to the identity of the station recorded - It could be WFAT or KKIN, and I might say that order. I would actually put money on it being WFAT and not KKIN. But without an ID or something else unique (like a local news/traffic/weather report), its only going to be speculation.
Pattern information can be found at:
https://radio-timetraveller.blogspot.com/AFE822x SDR with SdrDx 2.20j software and Wellbrook ALA-1530S+ oriented NW-SE