I have a 252rx.
I can cut 4-5" without issue, but I have more power than what your looking at. The 345 SHOULD be able to handle it, but Id go larger if the budget allows. Generally what I cut here are "alders" that I think you guys refer to as willow. They grow in clusters of 5 or so to a single "stump".
As to ground contact, it is more forgiving than a chainsaw, within reason. You bang it into a rock, wide open, and there will be issues! However because the blade does not have a real wide cutting edge (kerf) on the tooth like a chain it doesnt get damaged as bad or as easy. Laying it down flat on the ground (like when you cut through the tree and the tree pins it to the ground) wont generally cause issues.
It really is the best tool for clearing ground, way easier on the back and safer too. Plus with a tri-blade it becomes a great brush cutter to keep the area under control once the heavy stuff is gone