In reply to Graeme G:
Not sure if it needs to be classic Alpine hut to hut or not.
If not, I've looked at the Majorcan long distance path previously and there's a coastal path in Portugal that would probably be enjoyable in October too.
If you want mountains can go village to village in the Alpujarras in Spain, no huts but cheap hostals / pensions, food and drink along the way. Fly to Malaga, bus to Granada.