Effectz, I did not really bother with identifying the species, but I think it was a green shield/stink bug from the Pentatomidae family. Rather common around here. And they do fly. I could recognize that f**king sound anywhere. Craneflies you mention are also around here and yes, they are pretty annoying, noisy and when one pops up behind you with all these spindly legs it looks like one of the giant Jumanji mosquitoes.
Raging, poor spider!