Have you thought about 35mm perspective control lenses (usually in the 35mm focal length)? This would give you rise/shift, and yet stay with the same format that you've been using.
Another road down the middle is to use medium format film on a 4x5. You get the movements, but with the convenience of roll film. For 2.25x3.25 format, you would also get about the same ratio of length to width of film as 35mm.
47mm f8 Schneider Super Angulon: (Same as 0.444x47mm= 21mm on 35mm camera.) About $450-$600. (All prices used.) Better to get f5.6 S.A. at about $600 to $800.
58mm f8 SA: (Same as 25mm on 35mm camera.) About $500-$650.
65mm f8 SA: (Same as 28mm on 35mm camera.) About $350-$450.
75mm f8 SA: (Same as 33mm.) About $450-$600.
90mm f8 SA: (Same as 40mm.) About $350-$500. Or a Symmar-S f5.6 100mm (same as 44mm) in about the same price range.
120mm f5.6 Symmar-S: (Same as 53mm.) About $350-$500.
135mm f5.6 Symmar-S: (Same as 60mm.) About $350-$500.
150mm f5.6 Symmar-S: (Same as 66mm.) About $350-$500.
I'm partial to Schneiders, but there're other brands in about the same price range. The above lenses (except the 47mm f8) will give you plenty of movement for 2.25x3.25. For Schneiders, I wouldn't worry about getting multi-coating on the older 1970's lenses. Schneider tells me there's not that much difference.
Camera: Wide range available. You need to be able to use a wide-angle bellows for lenses at least down to 65mm, if not down to 47mm. (Probably the latter.) As an inexpensive ($200-$400) beginning, I've wondered about using an older Calumet 4x5, Wide-Angle, short-rail camera. It will handle all the above lenses. You could get the Calumet roll 2.25x3.25 film-holder ($250-$400) to hold color film. (Or B&W.) But, I've not tried this camera myself, so I would have to rely on the opinions of those who have. There are LF 6x9 cameras available, but they're expensive, even on the used market. e.g. Arca-Swiss, Linhof, or the Calumet/Cambo SF23 at $1800 new. There're lots of other possibilities. Check out EBay.
Or, use 4x5 film on a 4x5 camera.