Are you staying in one hotel during the entire stay?
If not, I can recommend...Hotel Mare e Festa
in Solenzara which will cover your trips in the southern half of Corsica.
Although not the fanciest place I've stayed in, it was the most reasonable at €40 with a full breakfast back in 2006. And best of all, the Mediterranean was 5 meters off my back window.
This was the smallest cabin...
Other cabins were much larger and had a kitchen.
And the view from the window of my cabin...