To be able to play a game with Aces High on Monitor A and surf on Monitor B may not be possible. You can, yes, run AH on Monitor A and have a window open on Monitor B, but to surf on B you need to have your mouse not focus on AH, thus leave a Game Window when it has focus. I have never heard of a program allowing the Mouse to leave a focused game, but it may be possible.
So while AH is Focused, I know of no way to have the cursor leave that Focus. Someone may know a way, in which case I would be happy as well.

Also, by "Focused" I am referring to being the opened window, or on top window.