So today I received my 4xEIDE'99 Buffered Interface from Amigakit, AmigaOS 3.1.4 w/ROMs from Amiga On The Lake, and a 32GB CF card from Amazon. First up I finally came up with a solution for getting the CD audio out of the back of the machine. There is a mounting hole for the A500 Keyboard adapter. But since I'm not using it I decided to mount an audio out jack there. I purchased this audio out jack:
https://www.amazon.com/gp/product/B01NCPSUB4/It required just a bit of trimming but I got it mounted no problem.

Next up I needed to make a cable to connect the CD drive's analog audio out to the jack I mounted on the back. First I needed a couple of parts. First was a 4 pin CD audio cable. I was hoping to find one in my pile of old parts but had to order one.
https://www.amazon.com/gp/product/B00852L4VONext up I need a stereo cable to connect to the jack.
https://www.amazon.com/gp/product/B07DNXZBW4/Now it was time to connect the two. I cut one end off the 4 pin cable and the RCA ends off the y connector and wired up the left, right, and grounds. After I was done I plugged everything in and hoped for the best.
Next up I installed the 4 way IDE adapter, 3.1.4 ROMs, and connected my DVD drive and new 32GB CF card. I then broke out the floppy disks for 3.1.4 and started my install. I've got to say setting up the 32GB CF card was super easy. A click of the installer and a few disk swaps later and 3.1.4 was installed. I then installed EIDE'99 and Allegro CDFS. A quick reboot and I was good to go. It even saw my DVD drive.

Now for the moment of truth...seeing if the CD audio played out the back jack I installed. After what seemed like forever on Aminet trying to find a CD audio player that worked under 3.1.4, I finally found one that did...SCDPlayer. A quick edit of the device number and it was time to test. I inserted a music CD, hit play, and was greeted with the sweet sounds of music coming from my speakers. Success.
Next up is figuring how to play Paula and CD audio at the same time. I may buy a small mixer to mix the signals or just buy a monitor with audio in and play Paula audio from the monitor and CD audio from the speakers. I also want to try my hand at playing real CD32 disks. If anybody has any advice on CD32 disk playback feel free to reply. I'm getting close to the finish line.
