I am not sure about the hypothesis that your CDP overdrives your tube preamp. Your tube preamp should have a volume control that can attenuate the signal from the CDP.
My guess is your SS power amp overdrives your tube preamp. Your tube preamp may have a high output impedance and/or your SS power amp may have a low input impedance.
My guess is your SS power amp overdrives your tube preamp. Your tube preamp may have a high output impedance and/or your SS power amp may have a low input impedance.