Jono, definitely the Stitch is your first choice. It might, however be a real test to stitch 20 or 30lb braid? I have only ever stitched 50lb and upwards...
But if you can, this would be your first choice join.
Failing that, I would Bimini both ends (50 turn Bimini in 30lb braid) and join with a proper Cats Paw...