Many persons come in
Amalfitan Coast to have speial conditions for their favourite hobbies. Trekking, hiking, snorkeling, running etc - there is place for every passion here. During my walks, I often meet solitary persons or couples or groups of people. Somebody has even sleeping bags over their backpacks.
Personally, I never had the possibility to stay for 2 and more days on the mountains, but I have friends that do it regularly. So, if you want, you can think about this itinerary, too. There are many sources on the mountains and you can meet houses and even restaurants etc there, so you do not need to have great quantities of food and water with you.
It's always better to go with a local guide - there are many residents in Campania that love their moutains so much. If you want, you can write me, too, I'll give you the contacts. The only problem is that they rarely speak other languages except italian. But it's not mortal in any case.