We did The Path of the Gods. I have two trip reports with hiking info.
2016 -
https://www.sloweurope.com/community/threads/naples-and-positano.1345/
2017 -
https://www.sloweurope.com/community/threads/positano-in-november-2017.2714/
We took a car service to Bomerano to start the hike but you could take the bus to Amalfi, then bus to Bomerano. Then you hike to Nocelle, about 3 hours (maybe shorter) and not difficult. Then bus to Positano, bus to Amalfi, bus to Ravello.
There is a very good hike from Ravello that we did from the Cicerone guide where you walk through all the small towns up there. Or a hike down to Minori (we did part of that). Or hike into Valley of Iron (not sure I got that name right) and down to Amalfi. We did that one. Details should be in those trip reports.