I've not researched the LaPass quilts at all so this is just some rambling.
When I decided to do a tumbling blocks quilt eons ago, I cut all my own pieces using old file folders. Those I can definitely re-use. Not sure this would be an option for the LaPass or not.
I know my LQS sells papers for these (
http://penningtonquilts.com/) or how their prices compare but perhaps you could check them out.