There are no banks in Snape, Aldeburgh or Framlingham,
and (see below) only 'Banking Hubs' in Leiston and Woodbridge.
 

CASH MACHINES / ATMs (in miles from Snape Bridge)
3.8 N   HSBC bank and Tesco supermarket, Saxmundham
3.8 N   "cashback" at Waitrose and Tesco, Saxmundham
5.6 NE   Co-op supermarket, Sizewell Road, Leiston, IP16 4AE
6.3 E   Co-op supermarket, 117 High St, Aldeburgh, IP15 5AR
7.8 SW   Co-op supermarket, 30 High St, Wickham Mkt, IP13 0SB
     
     

CASH WITH DEBIT CARD at Post Offices and Banking Hubs
0.6 mi N   Snape PO, Village Hall, IP17 1SX: Wednesday 13:45 to 15:45
3.8 mi N   Saxmundham PO, 7 High Street, IP17 1DF (in Co-op Pharmacy)
5.5 NE   Leiston Banking Hub, 13 Waterloo Avenue, Leiston, IP16 4HE (Mon-Fri 9-5)
5.6 NE   Leiston PO, within East of England Co-op, Sizewell Road, IP16 4AE  [+ ATM outside]
6.1 mi E   Aldeburgh PO, 119 High Street, IP15 5AA
10 mi SW   Woodbridge Banking Hub, 52 The Thoroughfare, IP12 1AL (Mon-Fri 9-5)
     
    ALTERNATIVELY, YOU CAN TRY LINK'S «CASH LOCATOR»