ORIGINAL: Underclocked
Chapman, there are a lot of good conicals besides those expensive two you mention. If a person is lucky enough to get an Omega with a well made barrel and properly done QLA section (well, properly would be"absent" but...) it should shoot well with any number of bullets. But the rifle's trigger guard can be BRUTAL when shooting heavy loads.
Some of the Knights shoot conicalsvery well. But I would also recommend a White if you can locate a good specimen. Parts are rapidly becoming an issue with the Whites though. Several recently wanted to buy extra triggers (as future insurance) and a special order had to be made from the makers of Bold triggers.
My logic is that the author of the thread said he was thinking Omegao or Encore, so I stuck with an Omega or Encore. Sure there are a lot of guns that will shot conicals. I would not recommend a White for just the reason you said, parts and fixing if things go wrong. TC is excellent in that regard. Hope that help. Chap Gleason