Presumably, if BT are admitting defeat, they will cancel the contract and refund your money.
Unfortunately, BT are still only required to maintain a telephone line - not broadband. The government talked about a minimum 2M for everybody a few years back, but did nothing about it.
I'm guessing 3G or 4G mobile phone is limited or non-existant in your area as well. If there's enough households wanting broadband, you may have to be a bit more creative. There have been cases where villages have installed their own internet access. That could be by satellite, a fixed microwave link to a nearby town, and even a fibre running around the local farmers' fields to somewhere where there is a good connection.