If you've ever taken an LCD screen apart you'll know how hard it is for anything to get between the plastic sheets which make up the layers of the screen. The metal edge sealing strips are very very tight. I'm amazed an insect can get in there - or would want to. The stink of the liquid crystal polymers is quite distinctive and unpleasant - you can tell how good the seal is as you can't normally smell it on a sealed screen
One things for sure - unless its an old screen with a perspex or glass separate protective coating in front of the "real" LCD screen you've not a hope of getting them out and then putting the plastic LCD layers back together again.