Preamp is a critical part of the system. It must be transparent and on the level of your amp. Unless it’s a makeshift solution until you get a good preamp, I wouldn’t use the Cambridge in that capacity if you want to go the separates route.
But, with a budget of $5000 you’re better off with an integrated in my opinion. So I would sell Cambridge and the 💩 and get a good integrated with or without a built in phono stage. Any of the integrated amps mentioned above, Parasound, Luxman, Hegel and Pass will take your system to a new level. The speakers you have should let you start enjoying the music.