Alternatively, wander around the rejuvinated canal area - It's where Bill Clinton was seen taking a beer at the G7 a few years ago - and go to Ronnie Scotss Jazz club (if its open on a Sunday PM). BHX is a relatively quick ariport to enter/leave, so if you have time you may be able to make a flying visit to Stratford-upon-Avon (about 30 mins away) or my hometown of Leamington Spa(!).