How to print the roof of this model with supports inside it only?

So, using all the information you all gave, I’m giving the roof another try at the moment, with 0.08mm layers and the default 0.42 line width.
I was wondering whether the speed you use for the printer as a whole has en effect.
Apparently it does, as I started at “Normal” but noticed that spaghetti appeared as well as defects on the “tiles” of the roof itself. So I quickly switched to “Silent” and it seems this works better. Though it obviously doubles the time needed to print then thing.