MrT is right. Following advice may end up costing you money and not produce the results you seek. I've owned many different CD players and have often shared my opinions about them. I've also had exchanges here and in e-mail with people that had the exact opposite opinion of the players that I've recommended. Go figure!
Anyway, AudiogoN is a Godsend to someone trying to build a synergetic system, even if they cannot audition before buying because of geographic isolation. If you shop wisely and are patient, you can nearly always buy good used components, try them in your system for weeks or months and then re-sell them if they don't "float your boat". I've done it at least 10 times with CD players alone over the last 6-7 years and it never cost me over about $50 when I resold the unit later.
BTW, I don't think you necessarily need a CD player. I would suggest you just shop for the best sounding CD players in your price range and try one. If you do your homework and are patient and deligent, you almost can't go wrong.