I am aware of how to force IE into viewing a page in document compatibility, but what about browser compatibility view?
I have a pro
See MSDN documentation.
You should use emulateIE7 since compatibility mode is kind of IE7:
Edit
If the above does not work, the other options are really poor.
Quoting from the link above:
The above are, AFAIK, the only causes for compatibility mode.
Unless you are prepared to contact Microsoft directly to have your website added to the global blacklist, there isn't much you can do (unless you want to wrap your site in a frame that originates from a blacklisted domain).