Oh. My idea will not work . I thought you had done small size which fit on a metal stand.
Door size I use those over the door coat hooks. Look carefully before buying at the hooks to put quilt on . I put a rod from corner to corner in a triangle and hook rod over hooks. I originally used cane or wood rods I have since started using cafe adjustable curtain rods as they are adjustable and you don't end up with a bundle of sticks from different widths.