So, normally this is done with a special screed program and not permanently at 35 °C. It’s probably better for the stresses in the screed, but I’m not an expert either. It will definitely dry this way though. Just watch out for possible cracks and report them immediately.
That you have a sauna for several weeks is perfectly normal. The best thing to do is, as soon as the air is saturated (around 99% humidity), to do a quick airing. We did this 3 times a day back then (before work, after work, and again before going to bed). For our windows, we used a window vacuum cleaner, and for window sills and similar surfaces, old towels. It is important that you hang everything out to dry, otherwise the moisture will just end up back inside the house.
We heated for a total of 4 weeks and then aired for another 4 weeks without heating. Then the house was dry enough to lay the floor and move in.
We also had a mobile heater back then because we had problems with delivery times for our heat pump. We got the electricity meter shortly before the screed drying, and it read just under 3500 kWh when we moved in with 140 sqm of living space. You should therefore expect 6,000-7,000 kWh until moving in for your house size. I recommend you get a cheaper electricity tariff from the usual comparison portals; that way you can save a lot. But it will probably cost around €2,000. You really have a big house, so these costs are normal.