I think if the other school are actually 5-10 minutes drive then other village children will be likely to be attending them too.
I would look at all of the schools and choose the one I felt was nicest.
We are in a small town; we have a huge primary school 5 minutes' walk away, and we went to see it and frankly I couldn't wait to leave. The HT came across as patronising and old fashioned (in a bad way), the concrete playground was vast and terrifying, no trees even on the field - there was dog shit all over the pavement outside, and the corridors, which were actually large rooms, were filled with extra tables and we got shouted at and called names by the children sitting at these tables several times.
We could hardly even get through, it was such a squash.
We also went to see a village school which is a 5 minute drive away. In contrast it was paradise. Smaller, if only by a third, but so much more kind, the HT was funny and sensible and enthusiastic and showed us round himself, he didn't look like he was disapproving of me, the fields had trees and the children were polite.
Also the one nearest to us actually had after school detentions.
You can guess which one we went for, and it hasn't spoiled relations with anyone here as many of the children in our street go to the next town for school, which is even further away.
It was very lucky to get a place at the village school, for us, but we grabbed it when we had the chance.