Not sure what you're attempting, but... Here's two thoughts.
1) I'm guessing the camera is expecting mic level so could you maybe send the audio out a side-chain like you would to an outboard effects unit? (Stereo Send/Return)
..or..
2) Send the audio into a video processor (I like Filmora, about $60 for a lifetime license with free upgrades) as a separate source from the video from the camera and then match them up?