Cumbria, the Sahara of LPG

I've just returned from a few days in Lake District. A warning to all Green motorists. There is NO LPG in the Lake District National Park. I don't know if this is on purpose or there is some other geographical or political reasons but it's just not funny. BP seem to have a fairly major monopoly on the fuel stations within the park but even beyond that there is no LPG from any of the mainstream providers.
I managed to fill up (having run 80 miles on petrol!) on my way home at Penrith thanks to the late night opening of Ullswater Road Garage
This map tells the story.

From A day out in the Lakes

All in all quite disappointing and considering the environmental angle of vehicle use within the national park, quite odd.