For a full length UQ, I find it easiest to use the built-in quilt loops with either mini biners or Dutchware's clip-on quilt hooks.
For a smaller UQ, like in your photo, you may want to consider the sew-on hooks.
I don't often use the tie-outs. When I do use the tie-outs, I find that they actually help keep the UQ from riding up on either side. I don't think they would do anything to help hold it in an asym orientation.