Sloane27
Your A3 cd player uses a PCM1716 Delta Sigma d/a convertors, which won’t do full DSD anyway. Your Redbook (pcm) replay collection is compromised compared to a cdp or dac that uses r2r multibit convertors, which convert it "bit perfect".
You could use the A3 as a transport as it has a good quality (Sony KSs-240A) laser transport/mech and get a Schitt Gungnir (with r2r multibit option) or the more expensive Schitt Yggdrasil (r2r multibit) dac.
This way you’ll get the very best from your Redbook (pcm) cd collection, and forget about DSD which to me is a hoax anyway.
http://schiit.com/products/yggdrasil
http://schiit.com/products/gungnir
Cheers George