Budget DAC vs Budget CD Player?


Trying to decide if I want to go this route:

Mac -> Audioengine D1 DAC -> Integrated Amp

Or

Sub $200 CD Player

Eventually I'll upgrade all this with better quality gear but want to see which of the 2 would be a better bet right now.
128x128kray
It is a good idea to have a spinner as a backup in case your computer based system goes belly up, you don't have to be totally without music on those occasions when you're really on the mood to hear something. I have a Denon changer, and it cannot touch the quality of my PC based front end, but I use it from time to time when I don't have the laptop totally set up, or if I don't have that new CD ripped just yet.
I bought the Audioengine D1 when it first came out. I ran a Sheffield test and burn in CD through it for 72 hours. To my ears, it sounded no better via optical (Cables to Go 40231 SonicWave Glass Toslink Cable) than a $21 FiiO D3 DAC available through Amazon.
Kray- I currently have the 1st generation Emotiva XDA-1 DAC in my system. It is a wonderful dac and a steal of a price but the USB input on my unit is nothing special. I would recommend the latest version if you go with Emo, I think they improved the USB section. The remote control volume and swithching really comes in handy!
The DAC route also allows an upgrade path via USB converter, a la Musical Fidelity Vlink 192, JKSPDIF MK3, Audiophilleo, Anedio, Empirical Audio, many others. Using a USB converter to re-clock the signal offers significant upgrades in sound vs. the USB inputs in the vast majority of DACs.
Realmo- would you need a USB converter if using a ASYNC USB DAC?

Mik971- so how do you feed the DAC from your computer? Digital mini jack?