How much would you pay for a modern tech 15" 60 series performance streetable tire?
There are at least 1,14715" tires designed for passenger cars and/or passenger car competition.
Specify the exact size or sizes you are looking for and we can move forward. I'm hard pressed to believe none of them will fit the bill.
I'm also curious, because you said period correct, what wheels you plan to run and if you want black wall or white walls, white lettered, red line tires, etc?