Retail parks with supermarkets are mainly situated on the outskirts of the larger towns

Stowmarket (6m) A14 / A1120 junction: Tesco
Ipswich- Whitehouse (11m) A14 / A1156 Junction: Asda, B&Q
Ipswich- Copdock (12m) A14 / A12 / A1214 Junction:: Tesco, Curry/PC World
Ipswich- Nacton (Euro Retail Park) (13m) A14: Waitrose, Sainsbury, Lidle, B&M, B&Q
Ipswich- Martlesham Heath (14m) A12: Tesco, M&S
Bury St Edmunds (22m) A14 / A134 Tesco, Sainsbury

There are many other supermarket locations outside retail parks (and many other stores within them). Ask at the Farmhouse if you need anything specific.