Depends on what you call an alternative…
There are quite a few naturist camp grounds and resorts with (some) facilities, usually a small grocery store/supermarket, a swimming pool and/or sauna, and a restaurant/snackbar.
But I’m not aware of anything on the same scale.
In the Netherlands there’s Flevonatuur near Zeewolde for example that has some bungalows and tents for rent as well as places to put down your own tent.
A specialist naturist tour operator (yes, they do exist) should be able to find something for you, and naturist organisations in general often have lists of facilities in their area of operation available.
But do remember that most naturist places don’t want to have the swinger and free sex crowd that cap d’Agde is infamous for.
One venue to consider is Burning Man, an annual festival in the Black Rock Desert in Nevada, USA. It is pretty remote, so it might qualify as “lost in the land”, but it certainly fulfills most of your criteria.
Nudity is permitted and common at Burning Man (though far from obligatory). Crossdressing is also allowed, as is wearing bizarre costumes.
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