I also build in northern Schleswig Holstein. Leave out both gables + the garage and with a bit of your own effort the project is feasible.
We are building 12 x 10.5 - ground floor 100 sqm, upper floor approx. 65 sqm (but unfinished), without gables and garage and will be roughly at 190k. About 15k has to be added on top because we got some materials like windows significantly discounted through the family, which you probably will not get.
According to our shell builder and carpenter, about 10k-15k per gable has to be added on top.