No idea on the cooler. I wouldn't use the Skeleton as a permanent case. It's supposed to be a test "case", not an everyday case.
There is a reason that high performance builds come in enclosed cases. The first is to prevent or limit anything from getting in (dust, pet hair, bugs, pets, spilled liquids, whatever). The second is to provide airflow. The fans create a lot of airflow throughout the case, which cools everything. You take that away, and you're leaving a lot of heat floating around the build. Leaving a build in the open air is just inviting trouble to come along and ruin it