Like all the "Escape to...." programmes it is worth looking at places that do not meet your spec.
I had a spec a bit like yours, £450k, 4 bed, detatched, outbuildings, rural etc.
We bought a 350 year old 2 bed semi detatched cottage right on the road. It is idyllic with a river 100m away, a pub 50 metres, another pub & shop 3/4 mile away, fronting a road but it is most definitely rural in the most glorious surroundings at the foot of the Black Mountains (still in England though), have made it work for us & absolutely love it.
If you are moving & need support for cancer I would choose somewhere with a friendly & supportive community & surroundings that make you smile every day. I can't help with cancer hospitals but there must be web sites with information/opinions on these.
Best of luck with your search.