These days most boards have have usb recording including multitracks AND includes the stereo mixbus out. Just ask the sound guy in advance if he wouldn't mind capturing the tracks for you. Bring your external HD and load it up after the gig. For me, I like to take the multitracks and mix them and then line it up to the digital video which really is NOT hard. Here are a few examples. These tracks were captured from the Behringer X32 and video from a Zoom Q3 HD.
https://youtu.be/fT_RwCjD-RA https://youtu.be/Z0ZjH9vi5EA https://youtu.be/g-DmceTyaH8 The fact is , as stated numerous times above, MOST stereo board mixes are useless due to the stage levels. I think mixing multitrack is WAY better but more work but the results are worthwhile for you and the client.
NOTE!! Make sure you or the soundman include an overhead on the drums, even if they don;t put through the system
Also, I didn't go crazy on any of these mixes and often you can do a set and forget to get a basic mix that works for everything and then focus on a few songs that the client might want to give extra attention to.
Lastly, I mixed the audio in Sonar Platinum and did the video in Vegas 12. Not sure how well Sonar would have handled the whole sh-bang