Yonks ago i did a social studies module on the OU and one of the first essays was about opening up the Peak District National Park to more diverse visitors from the UK. If I remember I'll look up some of the reports because it was quite interesting.
The Peak District park is actually partially in the wider reaches of the City of Sheffield and some parts of it have good transport links. Some… not so much.
Anyway the point was that if something is funded by the taxpayer then it jolly should well be accessible and open and welcoming to the … well, taxpayer. My Grandad and Uncle used to go rambling on Wednesday afternoon. That started to be a thing at least as far back as the 18th century and maybe before, where factory workers etc would get that afternoon off to go out into the countryside. Well informed and philanthropic factory owners, even back then, recognised the benefits to fresh air and countryside.
Most people could look in their wardrobes and already have suitable clothing for a ramble: trainers are fine, jeans are fine, t-shirt, jumper/sweatshirt and some kind of jacket is fine (more or less layers according to weather/season). That's all it takes to get less well off and more racially/culturally/class diverse people out into the national parks (which belong to all of us).
Accessibility needs to be looked at. I'm not sure that too many wheelchair users want to get to the top of Scarfell Pike (sp?) but i haven't asked any so I'd have to check. But Snowdon has the little train, so it's not beyond the bounds of possibility that something like that could be applied in other areas. It could be something as easy as a cafe with a good car park in a location with a good view, and accessible toilets etc so that people can go out on a drive, get out of the car and enjoy the view of the lakes/hills/trees/rain.
So firstly I'd think that some of that lovely taxpayers money is used to conduct surveys of what people who go to the LD like about it, what they don't like about it etc. And ask people belonging to underrepresented groups what might encourage them to give it a try.
PP already mentioned working in areas applying for grants/funds etc where they have to consider these points already, so expanding it can't be that difficult.
Because the alternative for me would be to make it much more expensive and cut public funding and invest it in places that are encouraging diversity and access but could do with more cash for that. Then everyone moaning about the excessive PCness of things like this can visit the LD and other parks free of pesky people who just want to have a bit of what the rest of us take for granted.