Rack not unique to the men's Deluxe American. I believe you're looking for the no-reflector rack, these also came on the Fleet and Fiesta lines as well as the women's Deluxe American. You could also rock the four reflector or the later two reflector version, hey, it's an upgrade. You might still have the three longer mounting bolts that these racks require, or they might have gone with the rack, just something to be aware of.
Cheers, Geoff