We like Bungay. This pretty little town has some great independent shops and a market every Thursday.
It also has The Earsham Street Cafe. We were too late for lunch, but liked the idea of the savoury afternoon tea with local Shipcord cheese and homemade carrot chutney.
http://r6.suffolkfoodie.co.uk/item/520-earsham-street-cafe.html#sigProId601a99f9f4