Think it may be possible at around 80 miles. I would take a look at your report at www.tvfool.com first. It they're shown there without cochannel or adjacent using a big enough antenna it's may be possible.
NOPE...Too far away
When I lived in Shakopee I got it on a regular basis but I was 70 miles away with a special VHF only antenna. Using Rochester location (55th Ave) its almost 100 miles away. The tower is in Lewisville which is south of Mankato about 15 miles
Mankato is a one station market (KEYC 12-1 CBS 12-2 FOX)
The low powered translators are through co-ops and are the Minneapolis stations. They're not in Mankato proper but 25 miles west of there (and the other ones are south of there)