Without pictures it's a bit tough to tell what will work for you.
I have a 3-piece system on my vertical cab.
The monitor bolts to a piece of plywood that bolts to ledger blocks on the side of the cab, and the bezel actually has it's own piece of plywood with a larger hole than the monitor screen.
That piece sits almost flush to the front glass, and holds the "tails" of the monitor bezel in place when the front glass is put on.
The inside part of the bezel just floats slightly above the monitor screen.
The tails on the bezel, and the bare plywood of the bezel mounting board, are covered by the artwork on the front glass, just like they were on most dedicated arcade machines.
Again, without seeing what you have to work with, I have no idea if something similar to this is possible on your cab.