Something like this could maybe help.
http://www.kalamazooind.com/products....YdQAf160.dpbs
Trying to get them to run dead-nuts on center with absolutely no run-out is next to impossible. But if you're turning the piece in one shot with no 2nd op run-out shouldn't matter.
You could look for a dedicated collet system for your lathe too. Wouldn't need to get fancy with a cam system to tighten collet. Screw a drawbar into the collet and you're set.
Little tip I figured out is that aluminum inserts are a godsend when turning small parts when you don't have enough RPM in a lathe. Steel inserts aren't sharp enough. Stainless inserts are better. But aluminum inserts are sharp and positive enough to get to easily get a good finish for small parts whether they are stainless or steel.