No, the house is too low behind a low hill for a short mast, and a very high mast wouldn't be ok. The way to do it would be 4G at the top of the hill and a cable or relay to the house, but as it's a populated village that would need cooperation among residents.
If there was plenty of cooperation and interest among the residents, they could install a better shared solution for the whole village than 4G even. There was a company willing to install something like that. But not enough people signed up to make it worthwhile.
I agree with you about 4G. I switched from ADSL+ to 4G last year in the middle of a city, and it's been a good improvement in download speeds, and an x10 improvement in upload. Netflix works excellently. Though there tend to be latency spikes, and new connections to websites for some reason are quite slow. I actually switched to save costs - unlimited data on 4G was less than half the price of bottom-of-the-range ADSL too.
When I want the best connection out of every option, such as a big download. I switch to my mobile phone, which seems perverse but there we are. I get ~90Mbit/s download via my phone. It's faster than wifi at the office, faster than ADSL, and faster than 4G at home too - the phone has a better modem than the standalone 4G router.
However I've tried 4G in London, which is the largest city in the UK, and it was awfully slow there. Too much density I suspect. So it's not a solution for everywhere. I think I'm lucky with it where I live. Around the same city, there are plenty of "notspot" shadows where there's no signal, not even 3G.