There are many people who have issues with back light bleed on their monitors but I found there was no convenient way to check where it is. Most people will open a movie file on their computer or use a preview of a blank screensaver.
JScreenFix is a software solution that can fix stuck pixels, reduce screen burn-in and improve the quality of images displayed on a screen. Also basic information on the symptoms, ie screen burn and stuck pixels
The TFT Selector will hopefully help you find the monitor which is right for you. Answer a few questions to narrow down your search and the results will show you some of the most suitable models for your needs.