Stacy -
Your question is kind of the holy grail of MF cameras. There are some options, few really good portable ones. The reality is that really good T/S exists in large format cameras, and as much as we'd all like it, medium format solutions are but compromises. They are better optical compromises than 35 mm based solutions, but they tend have limits, and weight to go with them.
Nothing in medium format is as economical to buy and as flexible to use in this area as a 4x5 camera. There are some good shift solutions - Alpa, Horseman, Silvestri, but you lose the ability to compose in the viewfinder.
The Fuji and Mamiya solutions are good up to a point, but like the Rollei, limited to a certain few lens options. I bought the Rollei/Schneider 55 PC lens years ago, in search for a lens that allows "live composition" and still gives shift control (it does have tilt, to a modest degree). Its a decent lens, and is fully automatic (exposure wise), which is nice. I don't think much of it handheld, tho, so its tripod based only. And its kind of heavy. While it doesn't get much use, the hunt for the holy grail (see above) has cast an untouchable aura over this lens, and it is part of the family, for better or worse.
Good luck in your hunt. If the need for optics is not too severe, and you can live with reasonable quality levels, the Mamiya options might just work for you. Or the Hartblei. But if you are an optics fiend (need for the two bricks in the far far corner at max shift to be just oh so sharp), then really consider a view camera. They are easier on the budget, and a lot more flexible.
Finding that level of quality and flexibility in MF gets very restrictive and/or pricey. There are also the MF view camera options, like the Rollei Exact or the Linhof, with carefully geared movements. They hold those digital backs very rigidly and are very good, but they are not quite setup for the Sunday jaunt. More for studio work, commercial.
Geoff