Not sure about the actual LLU status (was originally a Tiscali account taken out about 6 years ago), Samknows says it
is available on the relevant exchange:
SamKnows - Broadband Availability - Burgh Heath (LSBURH) Exchange
We're about 1.3 miles as the crow flies from the exchange so do I need to moderate my expectations or is there a solution to be had here.