I figured out a solution that will work for now.
First, I had to get the 32-bit version of python and get that version of pyaudio.
Then, I had to move the files associated with the module to the Temp directory where DobotStudio pulls its modules from. (I found this with the script:
This seems like more of a patch to me, so if anyone knows a better way to get new modules in the script editor let me know!