I would use a computer interface with DAW and record the play along to the cover tune or original while recording with 2 video cameras for 2 view angles. One track in the DAW would have the song, and the other recording my bass track. And, I would also use headphones to monitor the song while playing.
^^^This is what I do.
In the DAW, I have a mix-down the song on one track; then, I record my bass to a second track. For a "video audition" using cover audio, I usually run a high-pass filter on the audio track to roll off some of its bottom end so my bass merges better. Then I mix the two tracks to taste to a stereo mix-down.
I shoot the video using my iPhone. For an audition video, usually just one camera; but, if you have them, you could use multiple cameras. I DO shoot with audio ON in the room, so the cameras pick it up; even if I am using headphones to monitor.
To piece it together, I use Final Cut Pro (
Mac only). It's not cheap ($300 USD), but it makes it a snap to do. All you do is import the 2-track mix, and the video(s) into FCP. Select them all and tell FCP to create a "synchronized clip"; or, a "multicam clip" if you have multiple cams. It uses the audio from each of the media files to create a synchronized compound clip. (This is why you DO want to capture the audio on the cameras.) Once that's created, you edit the components of synchronized clip to mute the audio on everything but the 2-track audio file.
At that point, it all simply standard video editing.
Here's an example video.
Note: This is a single cam shoot. The pan and zoom cuts in the video are just panning and zooming on areas of the original shot.
Also: Yes, YouTube did detect the copyrighted material. I asserted a fair use claim as it's only for auditioning purposes, and I highly doubt anyone is looking to profit from a copy of Chris Stapleton's music with my bass. Mercury Nashville let it stand with the stipulation that they reserve the right to monetize my video. Seems a fair exchange.