Quote - It is rather aggravating to try and get one meshes vertices 1 mm from another meshes vertices especially doing 1 Vertices at a time.

:lol: That one was good...

You can do it 2 ways: Like tekmonk said with an shrink-wrap tool or by copying and moving.
I don't know C4D... shrink-wrap can be called differently. It is a tool to make one plane or mesh fit to the shape of another mesh. Similar to the way dynamic clothes fiting to the bodyshape in Poser or Maya.

If you copy the needed parts of the mesh without changing their location and move them away you get a similar result. That might work nice for a shirt but can be much work for gloves for example.
You should have an option to move an object by entering numbers for its new location otherwise it'll be hard to get exactly 1mm.