Be prepared for most people to urge you not to go the single unit route, and to get separates.
However, if you like the idea of eliminating a connection, and getting a dedicated Red Book player, the models near your price point are Bryston BCD-3, Hegel Mohican, and Primare CD35. There's plenty of discussion of the first and second here and elsewhere, and very little to my knowledge of the relatively new Primare. Some less-than-confidence-inspiring details emerged along the way concerning the Mohican; I just got my new BCD-3.