I am now the proud owner of one of these bad boys also. It's essentially built like a Russian or Ukrainian combat plane. I've actually used construction paper, regular school paper, brown butcher paper and parchment paper to recover these types of leading edges. Like Dan said, my favorite way to adhere is white glue, or weak spray adhesive like elmers spray adhesive.
Brent is right about the SLC, it's lower temp to shrink, but I'd still recommend the paper over the LE.