High End CDP's that play CD-R & CD-RW's?

I'm in the market for a new (to me, but probably used) CD player in the $2K range (give or take) that will also play CD's that are made on a CD recorder such as a Marantz, HHB, Tascam, etc. I'm very interested in a Meridian 508.24, but also would consider BAT, ARC, Cary 303-200, possibly the Electrocompanient, or Muse etc.

Any advice would be appreciated!