Choose tangency point for a circle and flat surface

There might be better ways to do what you are trying to do. But for the question at hand, you could add a distance or parallel to a plane to either lock or limit movement. What happens if you "flip" the constraint? Are there still degrees of freedom at the point of adding the tangent? A little more information could be helpful. Post an image maybe?

I have abandoned trying to do it this way at all and am doing it with a different geometry.

The ability (or more inability) to correctly constrain assemblies is one of my biggest gripes about Pro/E/Creo. The inability to chose internal or external tangency has caused me to pull what little hair I have left out. I was hoping there would be a better answer in this thread. As such, I did find a crude, ugly, and wholly distasteful solution that worked. At least in this assembly.

Since my tangency to the hole always came out on the wrong side of the planar surface, I created a plane in the mating part that was offest from the planar surface by the diameter of the hole. Then I made my tangency constraint to the plane instead of the surface. It worked at a visual and functional level. But now I've got superfluous planes in the model, as well as parametric dimensions on the print that need to be ignored, and if I change the size of the hole I'll have to go back and manually change the mating part so the assembly comes out right. Not pretty, but I it's the best I could come up with.