The Warwickshire village of Preston-on-Stour has been almost completely cut off during the past few days.
Flood barriers at Blandford Forum on the River Stour were also closed as waters rose.
Stour Valley is associated with the painter John Constable while Exmoor is renowned for its wild moorland.
The Stour Valley and Exmouth must submit a further, fully developed application to secure their full grants.
Four firemen died as they tackled a blaze at a vegetable packing plant in Atherstone-on-Stour in November 2007.
These include the restoration of a Stour Lighter river barge, landscape art and research into historic houses and farm buildings.
The route would include two underground sections below the Dedham Vale and Stour Valley, measuring a total of 5 miles (8km).
BBC: Hintlesham Woods missed by new pylons, says National Grid
Environment Agency flood warnings for the Rivers Frome, Avon, and Stour remained in place, along with a Met Office yellow weather warning.
The bodies of John Averis, 27, Ashley Stephens, 20 and Darren Yates-Badley, 24, were recovered from the building in Atherstone-on-Stour in November 2007.
Residents in Shipston-on-Stour and Kenilworth told BBC News they had not had any mail delivered for a week ahead of the Christmas holidays starting.
Painted between 1814 and 1815, The Stour Valley And Dedham Village depicts Langham church, Dedham church, Fen Bridge and the bend in the River Stour.
Michael Bancroft, of Ilmington, of Ilmington, Shipston-on-Stour, Warwickshire, is charged with one count of conspiracy to corrupt, three counts of fraudulent trading and one count of money laundering.
Up to 200 Save Our Silton campaigners met at Whistley Farm, Milton on Stour in Gillingham and marched up to the blimp, flying at Turbine height near to the proposed site.
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