I think it depends on how important the video and SACD playback is to you. It might very well be that using the CD player as a transport into the Schiit DAC might be better than the BDP-103 for CD only playback. However this is something I dont know as fact.
One thought, given that you wish to continue spinning disks and your disk player is ~13 years old, you might consider a new player now and reconsider the upgrade to an outboard DAC at a later date.
One thought, given that you wish to continue spinning disks and your disk player is ~13 years old, you might consider a new player now and reconsider the upgrade to an outboard DAC at a later date.