I work at a LQS and they have this cutter. I forgot the name of it but they rent it out for use. You bring in your squares (before they are sandwiched) and put them throught this cutter. It cuts all edges in 1/8 in. strips or maybe even 1/16. It looks great and so much easier than sitting and cutting yourself.
If you use one of those you could use any fabric and it would turn out great.
Good luck and welcome to this forum.