There's the makings of a good track at Viables Craft Centre in Basingstoke
Sorry Tony, couldn't resist.
They started to build a new village hall in the next village along from mine next to the old one which I think was damaged by fire. They have only got as far as a roof and no sides in 11 years, it now just sits dorment. There is also a wooden structure next door and an old bowls pitch which could be an outdoor track. The only thing is it's hard to judge size when your driving past 30 yards away and I don't know about parking.
I have absolutely no idea who owns it or future plans but if you wanted to speak to somebody it's in Whitehill, first four digits of the postcode are either GU34 or GU35. Just a thought.
Good luck, sounds like a brilliant idea