Well, Montana gets lots of snow. At times I've had up to 4 feet of snow. So, When the snow melts. It would destroy the antenna regardless of where and how it's mounted. The only REAL option would buy a 300-foot tower and mount it in the back yard. That option is not feasible due to cost.
Melting snow will not destroy an antenna, unless the antenna was made of sugar, or there is enough runoff to damage the house. Even regular snow will not harm most antennas, as they are too small to hold any significant snow amount. Ice can be another matter, but a VHF ground plane is not likely to gather that much ice.
If you are receiving signals with a handheld, you will pick up signals from much further away, with an outdoor antenna.
Meanwhile, a ground plane antenna, using a baking sheet, or cookie pan, as the ground plane might help.