I was in your shoes some months ago where I had a brass rod pulled out of my Chinese 3 jaw. After that the chuck was not "happy" - but until then it did it's job.
If you are concerned about runout you could swap out the Chines to a 4 jaw manual and dial it in. I know, I know - it's not fun - but if you do it a couple of times you do it fairly quickly.
I ended up buying a 6 jaw Bison from Grizzly
http://www.grizzly.com/products/6-1-4-6-Jaw-Set-Tru-Chuck/T10420
and have not regretted it. A disappointment was that the backplate (D1-4) was way out and I had to custom mount a tool to turn the face. When that was done the chuck was very easy to dial in to as close to zero as possible.
There is most likely others - higher end - than the Bison but for my work it's enough. I now do shafts (oversized) without any collars (joint work) when chucking up - so the TIR is as close to zero as it can. The 6 jaws get a better grip than the 3 jaw which might require a collar due to higher tightening force.
If you are really cool - go for the hugh collet chucks - you would see several of the old school guys up here have them (I was considering one my self)
http://www.bison-bial.com/Index.aspx?ESID=13&KID=1|14|210&TID=57647
Those with the hand wheel to close the collet looks very nice.
Edit: Here is a link to these
http://www.grizzly.com/products/Atlas-Hand-Wheel-Speed-Collet-Chuck-D1-4-Mount/T10354
Good luck with your hunt.
K