Nick, I would recommend you to use a Rr FC, with a Alpine Butterfly against the small ring. I tried to retrieve once with the method you are describing and vowed to never do it again. I posted about it in an older RW thread, but I was using a throwline for retrieval. Talk about a pain. Only 2 redirects and I had to wrap a biner around the throwline and hang on it. The problem is the amount of friction around the branch of the main TIP.
My suggestion to you is to set up and ascend as you are with your canopy tie system, but when you reach your TIP, install a mid-line attachable E2E. Use the E2E with an oval biner in each eye, and one biner loaded with a Pinto pulley. Put your stopper knot behind the Pinto...climb away...
When you retrieve this you will have a TOTALLY different experience.