I can think of loads that do everything you want and come into that price bracket, but aren't all that fast (some are microlights). For example...
Shadow.
Streak Shadow
X'Air.
Snowbird
Rans S-6
(the only one I wouldn't leave on a tie-down with covers is the Shadow, and that derigs into a trailer in half an hour)
And a few that do everything you want, but have a tailwheel and except for the Kitfox, almost certainly need hangaring in the UK climate...
Rand KR2
Whittman Tailwind
Smaller Jodels
Kitfox
But can't think of anything that does everything you want in that price bracket.
My suggestion if you want a fast cheap tourer is to bite the bullet and learn to fly taildraggers. On the other hand if you want cheap local flying and keep the 172 share for longer trips, forget the speed and go for one of the microlights.
G