Have you considered a Sony SCD-1 SACD/cd player? It too has been out for 5 years, but worth every penny.
For "slightly" over $2000, you could get a Resolution Audio Opus 21. It is a KILLER CD Player at its used price. It also has digital inputs, so you could attach another digital source if you wanted. Also, it has built-in volume control if you want to try it connected directly to an amp.
The going rate for a nice used one is about $2300-2600. If you buy one, you will want to insure that it has the "newer" style transport as the original style was noisy.
The Consonance cd players are stunning value. I would look at the Consonance 2.3 CD Player (is like the 2.2 but without the digital volume control) - which you can get new for 2k or much less, depending on the source. There are those that will try and scare you off buying a Chinese player, but the Consonance have an exemplary build quality and have been the most consistent of the Chinese audio companies in terms of churning out excellent sounding and well engineered products. The 2.3 has silly state balanced output and tube single ended (RCA) output using the super-tube Sovtek 6H30 used by BAT.