Hello SoL,
we have a floor plan quite similar to yours planned (building application is currently being completed). However, with only one study and the bedroom on the ground floor.
I just wanted to encourage you. For 200 sqm your budget should be enough.
However, 8 m eaves height would not have been enough for two full floors. But apparently you are adjusting the total height. What roof pitch are you planning?
What would bother me about the floor plan, however, is the passage through the kitchen. And I think I would do without the open space. And plan a laundry room there.