I usually stay completely out of financing discussions and will not address numerical calculation questions here either, but: an income with good prerequisites for decent savings performance / loan installments and the financing component KfW funding, which is already deemed necessary by self-assessment, first of all do not fit together ...
Basically, it is supposed to be a KFW40 house, since from our point of view financing is only possible with the corresponding KFW loan.
... and secondly, one must not forget that the KfW contribution to financing is also opposed by additional costs due to the associated efficiency house fat level. The existence of this component in the financing mix may still be useful, but it partly helps with a problem that one wouldn’t even have without it.
Currently, we tend more towards a prefabricated house, since there is at least one very good provider in the region.
That sounds to me like "you still have a lot to learn." Prefabricated houses are only as much "more prefabricated" as lemon butterflies fold lemons, and a second myth often attributed to them (the more precise final price prediction) is a joke with a long beard. At least the third myth (less durable cardboard box) is also false or no longer valid. EH40 is often more easily achieved by the wood frame panelers, but the masons are catching up by now. By the way, among the wood frame panelers, the non-regional providers are regularly also those with the more mature products; the regional idea is more advisable with the masons (and with wall panel masons anyway).