You can try one of
these Radius 320 monitors...
I will open up my BenQ FP71 17" over the weekend and let you know what the edge-gap could be, as well as what is on/near the sides of the panel. As SoftDux mentioned, you will probably not eliminate the gap completely, however, if you can live with 5-8mm, then you may be able to do something.
When I stripped my Acer Ferrari laptop to replace the DC-in plug, the LCD panel was pretty solid when it was out of the plastics, and the edging was pretty close to the backlight area - about 1.5-2mm - an LCD monitor should be about the same, but possibly slightly more.
What about thinking along the lines of a braced dual-frame - similar to the Radius screen, but with 2 panels instead of 3 - use lightweight aluminium edging (or bent slightly in the middle if desired) for the top and bottom frame holder - this would hold the main weight. You could then cosmetically cut/mould/shape/fit the existing outer plastics onto the frame, as well as the rear covers... just a thought.
In fact, I think I'll try and find another old LCD, or buy 2 second-hand el-cheapos to try this - if successful, I'll do it with my 2333SW's...