A fabric that is dyed on both sides works best if you are fussy about not seeing the non printed side, because you will have the non printed side showing just a little on edge of cut plus loose "threads". I've only used cotton and cotton/poly blends. A loose weave/not stable will have fabric unraveling and messy looking and hard to control.
This was really a fun project and alternating plain rope and fabric made it a little faster to make.
I also dyed the rope, worked out great. So I have some that are lime green and fabric. If you consider dyeing, try "Idye" bright and colorful.
Hope this helps, Thanks for asking
Any size rope gives you all kinds of effects. But make sure your machine can handle the larger rope.