Hi Grendel
I haven't tried this place myself; it regularly advertises in The Bushcraft Magazine, and looks interesting at least. The place is called The Plantation in East Meon, Hampshire. The ad says:
Attention Bushcrafters: 2.5 acre site to yourself or group (maximum 10); light a campfire; beautiful countryside; abundant wildlife; option to tent Tentipi with woodburning stove; logs supplied; peace & seclusion; no light pollution
Pre-book only tel 01730 261570 or 07801 760534. £40 per night for the site; £60 with Tentipi & stove
As I say I haven't been & have no connection with the site, but it sounds like what you're looking for.