What you haven't said is the budget. That could well be the issue.
The machines that make the vinyl screen material are fixed width, so they can make screens up to roughly 3m wide. Once you get past that point then you're eaaitehr looking at joining two pieces of vinyl together, which means a seam; or using a continously surface but made on a much larger machine, and so that puts the price up... a lot.
There's also the question of the roller size, case size, and transport for these very long case screens.
What's the budget?