Here is a way to make an I2S output from your CD player. This one includes a reclock option inside the CD player.

This idea uses a standard cat5 network cable. I personally don’t like the idea of reclocking the I2S bus and then sending it over the cable. A way better solution would be to include a low clock source inside your DAC. This source could have two outputs. One used to make the reclocking and feed the DAC chips with clean clock. The other output could be sent out over the same cat5 cable (using the 4th pair inside the cable) to the transport. This would make the transport a slave to the DAC and will practically eliminate it as a source of any troubles.