Now when I boot into recovery, it shows that I'm on version 18.104.22.168, but I cannot make a backup. There are no drives mounted, nor are any partitions listed. I went into Restore, and nothing is there either. Then I went into Install, and tried to install a new rom, but the zip files are not viewable.
Reboot, System... and now I'm here trying to figure out what I'm doing wrong. I downloaded the TF300T version of TWRP 22.214.171.124 blob again and used Terminal Emulator again to flash it, and everything is the same.