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The area I know best is between the Deben and Alde/Ore rivers, east of the A12.
The coastal towns of Orford and Aledburgh are best avoided IMO; tending towards snobby and expensive.
There are loads of small villages a few miles in land which have character and reasonable value.
Further north can be nice as well, north of Leiston, but it starts to get to over two hours drive from London. I don't know that area so well; could be worth exploring especially if travelling to the smoke regularly is not part of your plan.
Where abouts in Suffolk? I might have to move there