Q.eliminating Snow on the Mountain
I would like to remove this plant from a garden bed, salvaging the good plants (Hosta, Day Lily, etc). If I remove everything and place new soil in the bed, will this eliminate the groundcover and, if so, how far will I have to dig down?
Bishop's Weed or Snow On The Mountain can become invasive and is difficult to remove. Even the tiniest of root or rhizome left behind can recolonize the plants.
Digging down 2 1/2 feet and carefully removing all the plants and their roots is the best approach.
It can also be recommended to solarize the bed after the removal to help kill any remaining plant material.
These links have more information.
https://www.gardeningknowhow.com/ornamental/groundcover/snow-on-the-mountain/snow-on-the-mountain-plant.htm
https://www.gardeningknowhow.com/garden-how-to/projects/how-to-solarize-garden-beds-to-eliminate-garden-pests-in-the-soil.htm