Since you still have some to tillering to do, use a temporary wrap for the time being. I have some shoemaker's thread I use for that, but any string making thread, artifical sinew, nylon, cotton string material will work for a temporary wrap. Remove the wrap when needed, replace it when exercising the bow.
For a permanent wrap I like the looks of thread myself. Any upholstrey, jean or coats and buttons is sturdy enough once soaked and coated with superglue. Lots of other choices also.....Art