Just because I've been there and done it doesn't mean that you can. You know your limitations, I don't, so if you go there it is at your own risk. By mentioning the place I'm not suggesting that you go there.
Shearwater Lake and Beyond Into Longleat Woods,
Clay St, Crockerton, Warminster, Wiltshire, BA12 8AE
The path, that is shared with visiting motor vehicles, around Shearwater Lake, Wiltshire, is tarmac, so I've used it with even a simple powered wheelchair, but beyond, into Longleat's woods (Shearwater Lake is owned by Longleat but is free to visit - except a tiny parking charge) then I will need an off-road/all-terrain mobility scooter, and in wet conditions have to be careful of the depth of any mud. As I write I could get everywhere except through to the final stretch of footpath that goes into the back of Heaven's Gate car park.
The lake and the woods that surround it are beautiful, and the 50p or £1 (depending on where you park) that you pay for parking is a sure sign that Longleat view this as a facility that they can, and want to, provide the local community and beyond for next to nothing.
The cafe at Shearwater Lake isn't open every day so visit their Facebook page to find out when it is if you are going, the food is good and the prices are reasonable, so it's well worth a visit, especially if you can sit looking out over the lake. Dogs are welcome on leads (as they are around the lake). The toilets at the cafe are not disabled friendly, and there are no toilets around the lake.