I just rechecked the pics, and it IS a Super Sport. The pic of the seat cluster is conclusive: seat tube diameter, brake bridge, fillet brazes, and I can see the rear rim is a Weinmann alloy.
Now, how it got an oval headbadge is a puzzle. The badge mounting points aren't remotely similar; the oval badge mounts at top and bottom, the round badge at either side. I was just comparing examples of both badges I have lying about, and the oval badge would mask the holes for the round one. I wonder if the extra holes are under there. If they are, that would suggest an owner replaced it. If not, it suggests somebody in Chicago drilled and tapped the headtube with the wrong template, which makes it an interesting conversation piece.
In any case, you got a much bigger bargain than you first thought.