I am not sure, but perhaps Rotel offers a model that meets your requirements.
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The price of a balanced version Theta Miles has recently dropped to the $900-1000 range. It is a very good CD player for that kind of money. Of course, like the Sony mentioned, the Miles is a few years old now, BUT, it is a very good company and service/parts should be available for a long time (the transport mech is the Pioneer Stable Platter-Excellent, and redily available).
I really enjoyed the Miles when I owned it. I have replaced it with a Resolution Audio Opus 21, which is significantly better, but you'll spend at least $2200-2800 for a used one.