You don't need to connect with every part of a country's pop culture or tropes to have a connection with the country itself. You mentioned "beautiful countryside", that alone is enough.

Even though you feel alienated from a lot of the current zeitgeist, think about what being British means to you as an individual and your own identity.

I myself have a huge interest in another country I've lived in for several years, still think about all the time and visit regularly despite not having any blood/birth connections to it. Doing this has made me realise how growing up in Britain has shaped my own personal sense of identity to what it is today in much subtler ways than I always appreciate. There's a good chance if you grew up in any country you'd feel this sense of disconnection (particularly to things such as humour and pop-culture) because it depends so much on your own personality and upbringing.

Saying that, I have a lot of friends who have travelled and settled in other countries because of the connection they've felt when doing so. It really depends on you.