Here are a couple of places near me in Hampton Wick, about 4-5 stops down the trainline line from Twickenham (10-12 mins) a bit longer on the bus (15-20 mins).
Hampton Wick is a charming little "village", it has one of the best road bike shops in the UK (SigmaSport.co.uk), is a two minute walk from Royal Bushy Park, on the River, and a 10 min brisk walk from Hampton Court Palace. A nice place to stay for a night sort of thing with some very local attractions.
I was not aware that Twickenham has a University mind
Chase Lodge seems very popular with people attending weddings (but it is a small hotel)
Places for hotels near Hampton Wick, Greater London
The White Hart Hotel
http://www.fullershotels.co.uk
6 Google reviews - £89▼
1 High St
Kingston upon Thames, Surrey
020 8977 1786
Chase Lodge Hotel
http://www.chaselodgehotel.com
2 Google reviews
10 Park Rd
Kingston upon Thames, Surrey
020 8943 1862
More results near Hampton Wick, Greater London »
There are also a couple of the standard Premier or Travel Lodge in Kingston, one train stop further down the line.
Email in profile if you want more help etc.
Gary