For your budget I'd try and get hold of an Arcam DiVA CD192 (£900) or one of the two Cyrus players - either the Cyrus CD6s (£650) or Cyrus CD8x (£1000).
You might be able to get an ex-demo one from a dealer to keep the price down. The Arcam would work well with your amps, and has a snappy, articulate and hugely enjoyable presentation (I use one in my own home hi-fi system).
But if you can stretch to it, I'd go for the Cyrus CD8x. It was our Best Buy CD player (£750-£1000) in the 2007 Awards and has a staggering combination of timing, power and dynamics. See, I didn't SHOUT AT ALL!