You can get some pretty small diameter stainless strand wire at Ace, or other hardware stores. Try the heavier weight "Power Pro" fishing line, 50 lb. and up etc. You could also use the lighter weight leader wire, with the clips to make your loops, etc.
I used some of the stainless strand wire for a weed eater that my Neighbor loaned me. I bought the smaller, and an 1/8 inch also. I don't remember what the smaller diameter was but it was about a 1/16", or so. I think there was a smaller one also available. Not sure now.
Wayne