What is your goal? It sounds like you prefer the sound of your CD player running direct but have other sources that require a preamp. Is this correct? I am not qualified to answer your question directly.
However... Does your CD player have a digital input (mine does)? If so, you can run your preamp into your CD player (with an economical analogue to digital converter)and your CD player into your amp.
However... Does your CD player have a digital input (mine does)? If so, you can run your preamp into your CD player (with an economical analogue to digital converter)and your CD player into your amp.