So after some fiddling, I replaced the files that are broken with the ones from the old version. The game no longer crashes but now the starting area (which I am assuming is map 046) is completely dark. This has accomplished me nothing, and was a total waste of time. I am going to attempt one more thing before I give up and wait for Reach06 to release a fix.
Edit: (I am a fucking genius. We are so fucking back. The solution was to download each of the corrupted files by themselves and then put them in the folder myself. The files are now working as intended and the game is running.)