Boots made six 3-pointers for the Coyotes (7-7), who won their fourth in a row to reach .500 for the first time this season. Andreotti had 15 points and 12 rebounds.
South Dakota shot 46.6 percent (34 of 73) to 41.7 percent (25 of 60) for Midland.
Trailing 5-0, the Coyotes ran off 23 points in a row. The lead remained in double figures the rest of the way, cresting at 26 three times.