I'll be arriving at Heathrow from Helsinki late in the afternoon on August 23. I'm due to share a hotel room at the Premier Inn Euston the night of August 25 before heading north for eight nights, followed by a week back in London. I've spent 36 nights in London since 2017, so I don't want to pick up the full tab for two additional expensive nights there.
Thus I'm looking for an attractive town/city where I can spend two nights (about 1-1/2 days) that is reasonably accessible by train or bus from Heathrow and London proper. I don't want to spend a lot of time or money traveling somewhere for such a short time, but I won't be jetlagged on Aug 23 so should be able to manage bus/train/tube transfers if necessary. (My bag is larger than a carry-on, though.)
I will not have a car.
I have been to a lot of places that would otherwise be very suitable, but I really want this to be a new place. I want attractive architecture (which for me means not just a bunch of Georgian row houses), and it's a major plus if there are art museums, gardens, contemporary crafts and/or Art Nouveau architecture. My interest in pre-20th-century history is virtually nil, and I care not one bit who lived or worked in some historic building. You couldn't pay me to go to Stonehenge, Aylesbury or Glastonbury.
At this time of year I know I need to avoid coastal towns. I've read good things about Rye and Winchester. I've never been to Stratford-upon-Avon. (I haven't yet checked transportation links or room availability for those places; I know Stratford is likely to be pricey.) Are there other places I should consider? I'd kind of like to go a bit farther than the London suburbs, but I'm not averse to the idea of a place like Windsor. I've been to Richmond, Hampstead, Highgate and Dulwich.
I've already been to:
Canterbury
Brighton-Arundel-Lewes
Poole, Weymouth and a number of points west
Oxford-Cotswolds
Bristol-Wells-Cardiff
Bath
Bletchley Park
Cambridge-Bury St. Edmunds-Ely-Saffron Walden
Norwich
Some of those places are farther than I'd want to travel on Aug 23, but they are representative of the sorts of places I enjoy--except for the architecture in Bath.
Any other suggestions? I don't have a sense of the transportation links in England and don't want to overlook a place that would be interesting and simple to reach.
Thank you.