Trying to recover music after catastrophic hardware failure.

A few months back I had some serious hardware failures in quick succession. My laptop's hard drive and my external hard drive both failed about a week apart from each other. I stored my iTunes music library on both devices and have only recently been able to purchase new hardware. I've encountered a bit of an issue with backing up my music. Several of my purchased albums appear to have been removed from the iTunes store due to licensing issues. I still have all the music on my iPhone, but I find myself unable to sync my library without removing the now unobtainable purchases. I searched online for options to recover the music from my phone and could only find 3rd party options that I do not want to try.

Is there a way for me to transfer the music files from my phone to my computer? If not then what are my options at this point? I've identified about $40 of music that I can no longer access on iTunes and I would like to avoid repurchasing it on another platform.