well.. first off you have to ask your self are you wanting to mount the monitor as-is, or are you gonna decase it first?
what i woudl do is run to 2x4's across and mount each end of the monitor to the 2x4's
to hide everything you could create a bezel, if your'e gonna keep it cased then you could just spray the frame flat black.
you could use black poster board to fill the gaps if there is any.
if you do a neat job you can get away with clear glass.. if you do a sloppy one throw some smoked/tinted glass on it and no one will be able to really see the bezel anway.