Chosen Solution
You can get an Envoy Pro from OWC. It’s an external enclosure you can put your stick into and read it from a USB port. eBay sometimes carries them for less but be sure to get the correct one for the 2013 stick. Unless you have FileVault turned on you will only have to enter the password for the MBP or other Mac that you have it hooked up to.
I would use Target Disk Mode: Use target disk mode to share files between two Mac computers. Unlike your other options this method only runs the drive as if its an external drive. The OS or any other software is not loaded! This is a function of the EFI (BIOS). Copy off your stuff to another external drive and delete it to make room for the system to start up on its own. A second approach is to use an external case to host your drive. That way you can connect it externally to a second Mac.
