I'd recommend Oxford for an overnight stay. The town is stunning with lots to see and do.
Some of the University Colleges have world class museums and they are all free.
I know that isn't perhaps everyone's cup of tea but there are some great pubs too.
I'd advise against entering a pub quiz if you are in a student bar because you will probably get trounced.
As people have said the ground is about 5 miles out of town and served by very slow public transport. Taxis will be much better if there's a few of you.
Strange ground with only three sides but a bigger capacity than ours
Their fans are a friendly bunch as expected with no grief