I'd find it difficult to get sunburnt in Bury St Edmunds. The sun doesn't seem to penetrate far into The Brewhouse, the Nutshell, the Olde Cannon or the Black Boy ;-)
Oh, hang on a moment, the new Wetherspoon's pub (The Corn Exchange), which opened yesterday, has a glass roof - so perhaps sunburn is a possibility after all.
[Guess where I was last night!]