Hello!
It's important to note that Google does its best to give users exactly what they're searching for, and is aware of searchers location (for the most part). So a search for the query "tipi camping" from the lake district – if Google sees the search as a locally intended search – the searcher will more than likely see local results, like yourself.
So for starters, I would ask how you've seen Google treat those keyword searches – when you search for the query "tipi camping" from the lake district, do you see local results, or more general knowledge and national results?
Within your Moz campaign, I would make sure you're tracking for both "tipi camping lake district" nationally, and also "tipi camping" locally for your service area. If you're optimized well locally, and Google interprets the keywords you're seeking to optimize for (like "tipi camping") as a search with local intent, you most definitely have a shot at beating out those bigger brands.
So I would say not to worry too much about that search volume or the national competition for said keywords, but to put more focus on local optimization, citations, a stellar Google My Business profile, etc...
Is that helpful at all? Make sense?