I saw a guy with an Allegro that mounted the TV on the door, but he took it off while traveling. MY DW would raise holy-hell if I took away her cleaning supplies. I, long time ago, removed the top shelf; it is more handy with two storage spaces, rather then three.
So this leads to another option. I was thinking of doing this myself, where I would mount an angle iron vertically, in the center and fastened to the top and bottom of the compartment box. I would attach a swing arm TV mount to the angle iron and make sure the door can shut. If not, the angle might have to be notched into the shelf (or shelves). I would have an AC extension cord outlet and TV coax right there. Also have the swing-arm mount's TV plate attached to the TV. When all is said and done, it would be relatively easy to attach the TV and still have my DW's storage.