Corsica and Sardegna: hiking through mountains and along the coast - Group Travel

I am looking for a challenging/sportive trip along the Corsica and Sardegna coast. I would like to travel with a van if you have one or if you know how to get one and travel around these islands while doing sports (swimming and resting on creeks, hiking close to the coast, canyoning as there are a few in Corsica, running sometime through the forest, meeting people and visiting villages occasionally, doing barbecues during evenings). The aim to have a car is to drive over quite the entire coasts so that we focus on the challenging parts of the nice places without having to go to the bother of only walking all the time - kind of tiring for not so much money saved. I am by the way quite flexible about money.

Corsica and Sardegna: hiking through mountains and along the coast