I strongly disagree with changing the main location to Bath. There are a few threads where sitters show their frustration with this type of clickbait. This is just one, and there is a more recent one that I can’t find immediately: Home owner be honest about your actual location & expectations. 15 miles isn’t far, but it is misleading.
I do agree with the other suggestions to add “near Bath” very early in the main text or in the first few words of the headline.