When I bought my first HD display 11-12 years ago, there was very little furniture available that would fit a large screen (60" DLP) with appropriate dimensions as you've mentioned. Choices now are a lot better, but I was surprised at how "cheap" it was to get a custom-built stand - at least when compared to the high-quality stuff available. I used a firm that contracts to Amish builders in the midwest (since I was looking for something in an oak/Mission style), but certainly a local craftsman will be able to do exactly what you need. (in hindsight, I drew this diagram with min/max "requirements" - I should have just given them exact measurements, and they'd figure out how to make it work...)
My stand was a few inches wider than the TV, to accommodate floor-standing speakers, and I positioned my center channel on the wall above the TV, so there's no room for it in my design. My advice would be to plan for one size TV larger than you have now, such that the display wouldn't extend over the sides if you upgrade years from now (the "foot" of the display shouldn't be the issue, but it looks weird if the TV itself is too wide). I had my stand built to be about 20" high - which was fine, but a few more inches of height wouldn't be an issue for the display, but will give you more component / speaker space to work with. You don't have to shoot for eyes at midpoint - 1/3 up from the bottom works fine.
The one thing to watch on depth is any AVR or amplifier, which can get to 18-20" deep before the cables are attached. If the back is open, those things can hang out the rear a bit, but I wouldn't build any stand shallower than 18".
When I moved to a new house I sold the stand, as the family room has custom cabinetry - I had the display area set at 30" high - but I'm at a 10' viewing distance. If you're closer than that, something lower (24" or so) would be better...