...what I want to ask here is: each time I listen back, I hear some type of odd technical audio feedback...
Daniel, I listened to the whole file, even run it through an analyzer, I could not detect any of the strange sounds you are talking about.
Your recording is clean, so your problem is somewhere in the playback chain.
Maybe you need to switch off the microphone / monitoring input before playing your files on speakers, or simply listen on headphones, to avoid feedback tones.