My wife wanted a rack to hold her running medals. I just made something quick and probably a little overkill for the weight of the medals, but it's strong and ridgid.

The length that the hangers stick out was enough for the wider ribbons to rest on and just curl up at the end. The upper row can have the ribbon hang down between the lower row so they are densely packed together.

I used two #8 1.5inch construction screws, one drilled into a stud, one into a drywall anchor. Two can roughly fit on the same stud, but they should work between regular 16 inch joists if you want to put multiple in a row.