I have made quilted (using hobbs cotton batting and curtain fabric) roman blinds lifted by 4 wooden dowels; roman blinds with just tapes and rings doesn't work well because of the extra weight. You will need to make sure the quilting lines are relatively close together because when the blind is raised, the layers of fabric may separate and the top layer droops away from the lining. The blind worked well because the window could take that kind of bulk, the window was a big bay window and had a very deep recesses for the actual window casing for the top rail. The recess meant the blind didn't stick out into the room. I am making roman blinds for my new laundry area and will be using a thin thermal lining instead because the top rails will be sited on the wall above the window rather than in the window recess.
Hope this helps
HettyB