Nice budget. Lots of choices. My recommendation would be to get a nice player in the $1000-$2500 range and spend the remainder on a great DAC, if you don't already have one. You don't mention if you need multichannel, but judging by your equipment I suspect not.
I would consider Oppo or Denon Universal player and then perhaps an Esoteric DAC (or PSAudio Perfect Wave). For a few bucks more you might be able to get dCS debussy, which I think plays SACD.
I would consider Oppo or Denon Universal player and then perhaps an Esoteric DAC (or PSAudio Perfect Wave). For a few bucks more you might be able to get dCS debussy, which I think plays SACD.