(This might be a bit late for this weekend but I'll post it anyway. It will give you another option for a future date):
I also like 'Sunny Hunny' but, since I'm in Suffolk, I can't let a Norfolk town be the only place to be mentioned ;-)
My suggestion is the jewel of Suffolk's coast, Southwold. While it's popular with the wealthy (beach huts sell for over �60,000 within minutes of coming onto the market), it's never taken on the 'snooty' atmosphere that seems to pervade nearby Aldeburgh.
Southwold has a good beach, delightful cliff top walks, loads of good pubs (all serving the local Adnams ales), several decent restaurants, and a charming town centre which is full of independent shops.
Southwold is easy to find by road. (Straight up the A12 from London, turn right and you're there!). By public transport, take a train from Liverpool Street to Halesworth (which sometimes involves changing at Ipswich) and then a bus from Halesworth station to Southwold.
The link I've given above provides basic information, together with details of some of the accommodation available. For further accommodation, see here:
http://www.visit-lowestoft.co.uk/subpages_tran sparency/accommodation_subpages/southwold_area .htm
But to get a real flavour of Southwold's charm, this BBC site has to be the best:
http://www.bbc.co.uk/suffolk/coast05/walk/
Chris