Can a Ring replace my round doorbell?

The scourge of porch pirates has me looking at video doorbells. The problem is I have a round doorbell that is in a wall 90 degrees to the door, and that wall is covered in decorative stone. I have not seen any example installations that replace a doorbell like I have. Can the Ring replace a round doorbell? Can the wedge adapter be used in that situation? Will the wedge be enough to deal with the 90 degree angle? Any thoughts on the stone? What alternatives are there to replacing my doorbell if what I have is just too difficult to replace?