First let me say that I think Mark Hopper is one the greatest people on the planet. He serves this hobby well and makes Great products, well engineered,, all except the 290's radio box. My problem was by the time you get the taping flange cut down to where it fits inside the cowl you don't have any more than 1/8" for tape, outside the plexy cover.
It's too tall for my tastes also, so I cut 3/4 to 7/8" right off the botton,, opened up the upper half of the hull right under where the radio box sits and epoxied it in that opening.
I make fiberglass sheet stock with 4 to 5 layers of 2oz cloth pressed between to heavy, waxed sheets of glass. Many different parts can be made with this stock and this is just one of them. I cut a piece of this stock that would sit (cover the box opening)
just below where the original plexy cover would rest, tack it with CA and leave it with the opening uncut for now. Then I made a rectangular ring that would epoxy to the the area where the original plexy cover would have sat and also bond (epoxy) it to the cover I tacked in. Clean up the edge (inside where the new plexy will sit) and once the epoxy has cured cut out the first cover piece leaving 1/8" ledge where the new plexy cover will tape down.
What this does is give you a 3/8" to 1/2" flange to tape to,, it does make the opening a little smaller but it's still much larger that the L Y N X box opening. I hope you understand what I just wrote,, too late to do a "project in process" pictorial.
JW