Do you have kids?
If you do, then you should probably be locking your gun in some kind of safe. Some people already linked some good ones. I have seen some chick in a gunstore open one of those finger-touch jobbies in under 1 second.
This is a good one.
http://www.gunvault.com/
If not... hmmm.. My gf's place got tossed a few months back. They opened and tossed every nightstand drawer into the middle of the room. Velcro your holster to the back of the nightstand. They probably won't roll it. They'll toss your mattress... that's easy. Velcro a holster to the back of your headboard, if possible.... they won't pull it away from the wall in most cases.
You mentioned your computer monitor. Would a crook search behind your monitor for anything? Doubt it. Seems like a good spot. Leave a broken MP3 player on your computer desk... they'll grab that and move on....
Do you have an attic? Bury the sucker in a baggie in some insulation. Nobody will look there. Or you could bolt one of those floor mounted heat vents to the floor and hide your gun behind it. You won't be able to get at it easy, but nobody will look there.