hey there,
yes, do apply for AHRC - it will be "fees only" but that is a lot of money! if you have the fees taken care of for all three years, you can be quite optimistic of finding a way to muddle through even if things don't go perfectly.
many universities also give one-off, yearly grants, that you need to re-apply for every year. usually the deadlines are quite early.
check out german sources of funding. i think there might be age restrictions, but otherwise the government and diverse foundations do fund PhDs abroad.
then, look for topic-related funding, try the german member federation of the IFUW if you are a woman, look at what scholarly organisations have to offer (for example there is a society for the sociology of health and medicine which provides funding for PhDs in this area, and such things).
also, contact your potential future supervisor who might have further ideas for funding!