I'm trying to decide our travel options for going to Bath. My husband and I arrive at Heathrow at 8:10 p.m. on May 13th. My original thought was that we would spend the night at some airport hotel and then get a coach or train to Bath the next morning. But, as I looked at coach and train schedules, I realized we wouldn't get in to Bath until almost noon on the 14th. So then I was thinking we could just take one when we get in to London on the 13th. Which would have us waking up in Bath and having the full day to explore.
It appears that there are both train and coach options for the 13th. Is one better than the other? How much time should I allow from my flight landing to the coach time? We'd be arriving from Iceland (we're from the US, but we're spending a couple days in Iceland prior to the UK trip).
Also, is it reasonable to arrive at our hotel in Bath at midnight(ish)? I know in the US, it's okay to do that, you just have to let them know it's a late arrival. But I don't want to be rude (or worse, locked out) of our hotel because we're arriving so late.
If anyone has any recommendations, I'd love to hear them! (Hotel recs too! We're on a tight budget, but would love to find a good place to stay.)