What CD player will warm my Thiel/Classe systm?

My current 2-channel system: Classe CAP-151 Integrated, Thiel 1.6, MIT AVT-2 cables, Onkyo CD player.

I want to upgrade the Onkyo. For under $1000, what would you recommend to add more warmth? The Thiels are very detailed, and I would like to "pour some cream" over what feeds them. I listen mostly to jazz at low to medium volume in a moderate sized room. Thanks for your input.