Why isn't fold and stack working out? Tell us more about the "why" and we can help with options.
How are you folding the fabric? What size yardage or pieces do you have to store? Do you need to store in bins or on a shelf?
I wouldn't cut yardage as it may not work for the next project. Ten inch squares aren't going to be fun to use for binding.
I use a 6.5 inch X 24.5 inch ruler and fold the fabric around it. Then fold that piece of fabric in half. They stack easily on the shelf or storage bins if needed.
Pieces of fabrics less than 1/2 yards are ruler folded on a 5 inch ruler and folded on the 5 inch size. Then stacked in a bin like fat quarters.