I'd say the camera you're looking for is a new Linhof Tech 2000. It'll have pretty much everything you are looking for.
But if you don't want to break the bank and can find one of these camera's I'd like suggest something else. It should be noted that this camera doesn't have a couple of the feature's you're looking for, having neither any front or rear shift or a "geared" front rise. But it has everything else you're looking for. The camera is the original Toyo Field Camera and if you can find one you will have a jewel.
Mine has a rotating back, geared focusing, significant non-geared front rise, and front swing. It's extremely rigid and I use a 90 SA with lots of bellows movement and a 65 with almost none. A 75 or 72 will give you additional bellows extension and would work fine and give you more than a bit of movements. This camera is actually a 5X7 (although factory configured to be a 4X5 in most cases) and has a 16 inch bellows.
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