Good luck... Most monitors are going to exhibit some sort of "backlight" issue to some degree, even between two identical monitors. Lesser backlight-bleed issues can be mitigated by tweaking the settings to where it's negligible and in some rare cases, taken care of altogether.
Your going to get different opinions on multiple monitors from different posters on what's better/worse; i.e. model, manufacturer, panel tech, etc. which is par for the course on all forum Q & A.
However, your criteria is such that it may or may not exist (zero backlight bleed), even between two of the same monitors w/ same panel type.
Best bet is to hit these sites for their expert review to narrow down your option(s):
http://www.tftcentral.co.uk/...