Not sure you will find many forests on that trail. The coast side is rather bare. You should look at it in detail on Google Earth, but typically, there's no tree on the cliffs toping the ocean or on beaches.
Maybe is it possible to plan accordingly your daily hikes if you spot woods on the map in advance not too far out from the coast. A tent would be much easier to pitch anywhere on that trail, though. Certainly with great views over the ocean.
The landscape is rough and wild and beautiful. St Vaast is a nice town where you can eat good oysters and has some old XVIIth century remnants. This is
an amazing Napoleonic fort I slept in. You should try to book (way in advance), it is not very expensive.
On the west coast side, you can reach Guernesey, a beautiful tiny English island, once home of exiled Victor Hugo, from the small harbour of Dielette (less than 2 hours with the ferry, I think). There, I recommend you visit Victor Hugo's house, and stay at the
Hotel Blue Horizon, located in the wildest and most beautiful coastline of the island (once painted by Renoir). Breakfasts in this hotel are amazing. It is worth staying there for two nights, the time to tour the island, preferably by bike. You can rent one in St Pierre port harbour, where you get with the ferry from Dielette-Carteret.
5 days is pretty short to do all this by foot, though. If you go by car, you should also visit Rouen, Saint Germain de Livet, Bayeux (see the tapestry), Balleroy (built by the best French architect ever), and possibly Le Mont St Michel, if you have time.
That is what I would recommend if you go there only for 5 days, because although the coast is gorgeous for a walk, it would be rather monotonous to do it all on foot. You'd better rent a car in Paris and just do a couple of walks along the way. Public transport is not convenient to access the various sites.
But, are you planning this years in advance ?
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