Ok well I believe my latest viv is alot like what you are wanting.
Its an 18x18x18 Exo-Terra. For the pump im using a small pump found at most pet stores. Just a pump no filter, plants should be able to filter the waste once growing properly. The pump is housed in a 3" PVC pipe that is siliconed to the bottom of the tank. I drilled alot of small holes in the bottom of the PVC to allow water into the pump but keep dirt out. (so the pump wont clog). I coated the PVC with silicon and coverd it in coco fiber. There is a hole in the PVC for the pump outlet. I siliconed a half round of cork bark to the PVC for the waterfall.
You can do a false bottom, it doesnt weigh as much. But I dont move my tanks. I just used about 2-3" of medium gravel found at most home improvement stores. (cheaper than a pet store).
On top of the gravel I layed 2 sheets of landscaping cloth. (anti-weed cloth)
Then about an inch of sphagnum moss (comes in a brick), then a half inch of coco fiber (comes in a brick), and finally about a half inch to an inch of forest bedding (comes in a bag) cypress multch.
For the background I used GS (great stuff expanding foam). I also put a coat of silicon on the glass where the GS would be to help the foam stick better. After the foam dried I covered it with silicon and applied coco fiber.
You can leave the water in the tank as long as its staying relatively clean. I never do water changes, just add when the water is low. Dont let the water level get above the gravel, this will cause most plants to rot and die.
Heres a few pics of the viv I made.
Hope this helps.