In reply to JohnV:
I'm no expert on Corsica but finally had a fortnight there last year after many many years of meaning to. It lived up to expectations, and more. Back to your question - it's only an hour's drive from Bastia airport to Corte, and then you're at the heart of one of the major granite regions with a lifetime of climbs from short sport to 12 pitches and more.
There's more than one valley with easily approached climbs, but without doubt, with limited time the one to go for is the Gorge de la Restonica.
Up to date comprehensive guide books seem to be difficult (impossible) to get but there are selected guides available in Corte. Just noticed you said next week - dunno just what it'll be like this time of year.
Many years ago on a family holiday I found some limestone sport venues around Bastia itself, but from what I recall they wouldn'[t be worth a special trip. But then, I'm only a reluctant bolt clipper!