First off, if the margins are that close, then should you really be attempting it?
I've heard of circular take-offs in sea-planes, but wouldn't care to try more than a modicum of direction change at speed (have you tried Baxterly strip - N of Birmingham?).
Propellers don't cavitate, only liquids can do that, and you wouldn't gain much from saving the 'spool-up' time on a piston engine.
One technique that I've had demonstrated to me, although not necessarily recommended, is to accelerate flaps-up/tail-up and when just above Vsfe (or just before you reach the upwind hedge) apply max lift flaps and rotate - easier with manual than electric flaps.
This should reduce the ground roll, but will probably also reduce the initial climb gradient and will only work if you use the reduced speeds for the higher flap setting.