Simply asking a question about a specific area on AB might well help you. I live in Suffolk and know the county well, so I could probably advise you. (There are several other ABers who live in, or have lived in, Suffolk as well).
In general, avoid large parts of Haverhill and Lowestoft. The Suffolk coast around Aldeburgh and Southwold is lovely (although it can be a long car drive to get to a supermarket) but mega-expensive. Felixstowe, Woodbridge and Ipswich are generally OK (as long as you avoid certain estates). Stowmarket is 'dull' but not 'threatening'. Bury St Edmunds is generally safe and pleasant but Newmarket is probably best avoided. Beccles, Bungay and Halesworth are all OK. Hadleigh and Sudbury are both pleasant, with very few problems.
For crime figures. etc, search here:
http://www.ukcrimestats.com/Postcode/IP68TJ
For loads more information (such as how far it is to the nearest supermarkets) carry out a postcode search here:
http://www.cheapmortgages.com/postcodes/