Franziska, I can't help think that your
current system of doing it via an
inverter and manually switching it perhaps with a £5 clockwork kitchen timer is way cheaper and simpler.
There is a French firm that make a widget, but It think its voltage controlled, so don't know how that will
work with LFP. Chris the ower may be a
member on here. However, its a E200 widget:
https://www.green-yachting.online/yacht-hot-water
Actually, when you say "using surplus solar" it doesn't matter. Say you want a
shower in the morning but the LFP
batteries are at 60%. Run the water heater for an hour might take them down to 35%, but it doesn't matter with LFP. Solar will charge them up during the day.
The problem and its difficult is getting use to, is the idea of not needing to charge to 100%. Its taken us a while. The lowest we have been down to is 33% when I baked a cake one morning. little solar as it was raining, but didn't worry and the sun eventually appeared in the afternoon.
Pete