In reply to Justine1:
If you are a UK resident then you should be eligible for free or subsidised emergency medical treatment in Europe. You should apply for an EHIC card which will confirm your eligibility...
https://www.ehic.org.uk/Internet/startApplication.do
Emergency medical treatment only. This doesn't help with the cost of search or rescue prior to arriving in hospital, repatriation after discharge from hospital or any ongoing treatment or rehabilitation after an accident. For this you would need insurance.
You say you have insurance and rescue already so maybe that's enough. Check the details carefully as most travel insurance policies do not cover anything remotely adventurous.
The AAC provides a basic level of cover to all its members. You just join the AAC for a year and you're covered. It's mainly geared towards covering the cost of rescue and repatriation in Europe. Read the terms carefully and if it covers everything you are planning to do then (along with an EHIC card) it's a good, cheap option.
https://aacuk.org.uk/p-mountain-rescue-search-insurance
The BMC are more comprehensive and have a several different policies that you can take out for a few days or up to a year. Only available to UK residents so not sure if you would qualify but give them a call and I'm sure they would be able to tell you.
https://www.thebmc.co.uk/modules/insurance/