Unidisk SC would be an interesting choice, as it would replace both the CD player and Anthem prepro. You can simplify the system quite a bit. Plus it provides excellent SACD and DVD Audio performance in multi channel, which you may or may not be interested in. The downside is the redbook CD performance, as Unidisk SC is just a-ok in terms of CD performance. If you look at the CD performance only it would be at best a sideway move.
Next option I would consider is to get an outboard DAC with volume control. Benchmark DAC1 or Bel Canto DAC3 will provide pretty much the state of the art redbook performance. You can keep using Simaudio as a transport, but will be replacing Anthem instead. I think that will yield better outcome than replacing the CD player alone. Also you'll be ready for PC based transport later on if you are inclined to rip all your CDs.