Whereas, in my opinion, given the expected above-average earthworks, we would now be at the question of whether a basement overall is more economical than the staggered floor (which would then of course be omitted). But the OP does not want to discuss that...
We have already discussed this topic several times and always came to the conclusion that a basement is even more expensive. Currently, it would hardly be possible to make a new design.
Assuming we do a basement, then the utility room and storage would have to go down. The pantry would remain upstairs. At least the study would also have to go into the basement, and then the proportions would not be perfect. Thus, the area would increase overall. Certainly feasible, but a study with daylight is more pleasant than without.
What happens to the remaining plot?
Filling up?
Stairs to the garden?
How to support?
Earthworks cost.
Soil, transport, installation including compaction
Given the height, I would demand bearing plate tests
Filling up, since we don’t want stairs to the garden. The earthworks were roughly estimated at just under 20k. If everything works out, we should manage it for 8k. We are curious if it will work.