Unfamiliar with ‘Bead Lathes’ I had a look on the internet and conclude that you will not have enough power in your lathe to turn anything of the size you suggest in your list of things to make. If you want to test that thought, mount a blank of the size you need to make one of the items and turn a spigot, the maximum diameter that the drill chuck will hold and just a bit shorter than will go full depth into the open chuck, on one end. Then mount it in the existing chuck and see how you get on. I think that buying a special chuck without doing this test would be a waste of money - which you could put towards a small lathe. Keep the bead lathe for your tiny projects. Happy turning. Philip.