Thinking out loud:
It has the same windshield, vent windows and wheelcovers as the 53-55 Loewy coupes and (except for the wheelcovers) the later Hawks.
But it has the rear pillar found on the 1958 hardtops.
There is a chrome line and two-toning close to some 55 or 56 models and not excessive tail fins.
So all I can say is that it should be a styling proposal for the hardtops, Presidents or Hawks, 1955, 1956 or 1957.