You could probably just about make that work in Hastings (may have to sacrifice utility room) - https://www.rightmove.co.uk/properties/143186741
You could probably pick your depressed seaside town of choice and be in budget. Avoid the pre gentrified options.
Redcar or Morecambe?
There are lots of positives about Morecambe, including good schools nearby and proximity to the Lake District.
Fleetwood or Blackpool would be far worse.
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You could probably just about make that work in Hastings (may have to sacrifice utility room) - https://www.rightmove.co.uk/properties/143186741