My Blue Yeti microphone slowly stopped working and I finally figured out how to fix it after Ohming the connections out with my Fluke.
Follow the disassembly guide from the awesome iFixit here https://www.ifixit.com/Guide/Blue+Yeti+Disassembly/111262 After that you essentially want to gently mangle the micro-USB connector into something like the below picture. The cable should fit very snuggly now.