Looking for recommendations for CD player

I am looking to replace my Adcom GCD-700 CD player with a better sounding one. I feel the Adcom is a little too brite in the mids am looking for a more natural sounding replacement. It can be a single CD unit and must have remote control and variable output would be a nice feature.
I do not have a lot of cash so price verses sound ratio is very important. Any ideas or direction will be helpful. Used OK. Thanks, Milo, music lover not an audiophile.