The length of the tree straps should really depend on the size of the trees you're dealing with. The OP's info says he's from the PNW, which I believe lends itself to larger trees than the east coast. From some of the things I've read, it seems that sometimes up there it takes 10-15ft just to go around the trees available to you for hanging.
But as you say, if the straps were sufficiently long, you sure can hang from those and the CL by themselves.
Good luck
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