It's completely "do-able" but certain criteria must be followed, some of such with absolutely no fudging.
All important info:
Dimensions of Tray ( Depth / Height / Interior Framing)
Due to specific needs and restrictions, your PJ choices my be limited.
Factors that go into the decision making process:
PJ with Len's Shift?
Top of Screen edge's height on Presentation wall?
Available circulation / HVAC /110 ac ?
In reality, much of what needs to be done to accommodate such a "built-in" is rudimentary, common sense thinking. But of course, we all lack such at times, or are forced to make due with what we can conjure up...or that others (ie: wives) will let "us" consider as appropriate. Then....dammit....there's that 'ol Budgetary consideration to deal with...followed by whatever work ethic and skills we posses (...or our lack thereof...
Rest assured that there are myriads of fellow members with enough good advice to get you through this sort of thing in a reasonably easy manner.
It's the wading through all the advice you'll be getting that is the most daunting challenge.
OH yeah....Welcome to AVS and active Posting! Let's help ya "Get'ter Dun !!!