Thanks IRobertI, that solved 95% of it indeed. This model allows for it and I'll play with it more next time. Some of it is still in the top layers, even with 0 top layers, not problematic there but will look a bit deeper.
What is the color code of lines in Cura?
red = outer shell
green = extra inside shells
orange = infill
thin blue = non printing move
yellow = ?