The monitor may be good but if you have VSINC turned off.. your game may try and display at a rate your monitor wasn't built for.. so your game will black out. ALT-TAB should bring you out of the game and back to desktop if this is your problem.
Also make sure you have Direct X 9 installed. "Windows Update" should list it as a software update.. and I believe it's an optional one. If you can't access "Windows Update".. you'll have to Google for a redistributable one.