Hi Ed,

>>I originally started with just an extrusion of the overall 2D shape and would be happy to just fillet the perimeter. However, due to the point of the "branch" I can't get a fillet.

That is how I would first create such a shape, really to see if it was ok for what is needed. A rad can be placed around the edge, but is limited, as if the rads cross, you can lose the front face.

I did create the shape and placed a rad (built as you mention above), is that what you are looking for?