I thought of this thread when I came across the site
http://www.swcp.org.uk/ about a coastal trail in SW England.
What a great way to combine hiking/walking with golf!
The whole path is 630 miles and apparently takes about 8 weeks but I reckon the smart move would be to just do the first third or so, as far as St Ives.
Courses you would pass (and play) include Saunton, Westward Ho!, Trevose, St Enodoc, Perranporth and West Cornwall.
Strap a half-set pencil bag to your pack and you're good to go.