I had a similar setup running for two years day and night in the South of Portugal (also very sunny) without any issues. I used two very old 120W solar panels,

I had a similar setup running for two years day and night in the South of Portugal (also very sunny) without any issues. I used two very old 120W solar panels, a Victron charge controller and a 60Ah deep cycle battery running a 4G Modem/Router/Wifi and a security camera. At the house, which was some 300 meters away, I had a Ubiquiti Nano that connected to the modem and my wired network. I suspect a 300Ah battery with 600W solar panels would take you through the Winter in the UK and similar latitudes.