Interesting. Some thoughts:
1. I'd be thinking more along the lines of a 4-wheeled motorised mountain bike. Keep it light and simple.
2. Wheels - seriously think about mountain bike or BMX type tyres / wheels. The larger radius is useful offroad, you have plenty of torque from motors. Brakes are of course already there if you need them (probably not if you are trying to regain energy from inertia). - On second thoughts, you'll need brakes anyway, won't you.
3. I'd think twice before using solar panels. Its ok for keeping a stationary car battery topped up, but for actually charging you'll not get much out of anything that fits on a wheelchair. Without ensuring they point at the sun and spending a small fortune on good quality arrays, I think the weight and complexity issues will outweight the gains. Work out how far it'd drive the chair after an hours charge at realistic efficiency for cloudy English weather, off-angle charging etc (15% efficiency?). I'd be surprised if its justifiable.
4. If its just for outdoor paths / walking routes, I'd keep the suspension pretty small and light. Something like a bicycle rear shock has it all built in. You could make your own with a little machining if part of the brief is to not use commercial parts. Just a little spring and dashpot. You're not putting it on an articulation ramp. Design of ability to flex depends on steering system / drive mechanism, which we don't know yet.
5. Keep the batteries and system masses low down in the chassis. You don't need uber-clearance, or portals or anything like that. Its more likely to need to be lifted over a style than drive over boulders I guess, so mass is probably more important than clearance to some extent, and you don't want it flopping on its side, so stability is key too.
6. If you must put a roll 'cage', just go for a single simple hoop. If it does flop over in 'roll' (in terms of aircraft axes), the moment of inertia should be pretty small about the pivot point if you managed to follow point 5, so it won't see too much force. Shoot for 1 or 1.25" steel tube max, and if you decide to brace it, run cross wires (small diameter steel cable) that brace in tension only - much lighter. Safety belt? Bucket seat & harness for support?
7. You might want to consider the seating posture. Those foot plates make for crap clearance. You want the seat base as low as is reasonable to bring the CoG down, and the feet as high as possible (without inverting the occupant!) to keep clearance. Exactly like designing an offroader chassis - keep the high bits low and the low bits high. To me, this is suggesting something similar to one of those recumbent bicycle type postures. Maybe.
8. Forget 4wd or anything like that. This thing isn't going to get used on its own, and people can always push if its struggling. With a motor for each rear wheel, you'll not need axles / diffs etc. Maybe its lioghter to use one though (more energy efficient too?).
9. Bling the crap out of it. Wheelchairs look crap, and I've never understood why people don't put a bit of life into them.
Hope it helps, good luck.
Al.