Q2 Billings Area Weather: Showers possible during a dry March and last updated 2021-03-16 00:11:49-04 BILLINGS â For the first time this month, much of the region has a chance of picking up rain and snow. Rain in areas of wet snow will move across eastern Montana and northern Wyoming Monday night through Tuesday. The switch from rain to snow will vary across the region depending on temperature. The north-facing slopes of the mountains are targeted for the highest snow totals. The lower elevations could pick up from a trace to around 4 inches. Travel could be impacted especially to the east and south of Billings, including eastern Yellowstone and Big Horn counties in Montana and Sheridan County, Wyoming. Wet and slushy roads could sometimes be slippery especially across bridges.