Debug/Handle Errors - Capture console log and posibly network activity in Javascript

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One of the best ways for us to identify and fix issues with our VBCS application is to look at the console log and network activity.  However, it can be difficult when dealing with the user community.  If a user encounters an error in the application, we can't really expect them to download the console log and network activity for us.

We are wondering if there is a way for us to use Javascript to capture the console log and network activity and either dump it to a file or write it to a database table.  We are thinking we could do this in an action chain whenever an error occurs or we could even put an event on a page and have the user click a button or specific keys which would download the logs to a file which they can then email to us.