Yvonne, why aimless?
The following points would be met:
-shower not visible from outside
-toilet nicely tucked in the corner as a quiet spot
-enough space for bathtub and double washbasin
-a large free wall for towel radiator or cabinets
In our case, the geometry is a bit different so that the shower fits even better, but I could imagine it like this and since no one has had such a suggestion yet, I thought I'd throw it out there.