Had this exact dilemma but for Maths. The way I saw it, they're both amazing places, however, the international reputation and prestige of Warwick was slightly higher, as well as their links with top top firms. Also, I thought that Bath's campus was a little too small and everyone there is doing a similar type of subject seeing as it's so specialised, so I thought I would get bored of it and the people very quickly. Lastly, have you seen the hill you have to walk up every morning from the city of bath??? It may be a shorter lateral distance that Warwick, but that incline is very off putting