DAC for carousel cd player?

I agree that a new inexpensive DAC would make for an improvement. Might look for a used one having the characters soix recommends.  MHDT DACs have this, having a a tube output buffer. Known to be very smooth sounding DACs. 

a used MHDT Istanbul is on sale at audiomart, R2R, tubed great sounding DAC  600.00

The DacMagic 100 was introduced in 2012 and as far as I can tell hasn’t been changed since then.  It may still sound fine, but nine years is an awful long time in the digital world, and as good as it might still be I’d put my money on a new design by Mike Moffat in the Modius.  FWIW. 

Thank you @soix  great advice. Kinda sucks as the Modius is out of stock right now, but worth the wait I guess. Think I'll take your advice and go that route...Thank you again for all the advice my friend, sincerely appreciated!

Yes soix made a good point. I have (had) several of the entry level Schiit products and found them to be very competent at their price point.  Have not explored the Modius however.