Geoscience has connotations of geology and geography (all to do with the surface of the planet, or what's under it. This could potentially turn off oceanographers or atmosphere scientists. (also, Geography is out of scope).
Earth sciences is a common department/faculty name for university departments that include geology, atmospheric science, and oceanography. It doesn't explicitly include environmental sciences, but it certainly implicitly includes most parts of environmental science that aren't biology of ecology-related (for which we already have biology.SE).
This is also an alternative to the name proposed on the merge discussion: Earth, Atmospheric and Environmental Sciences. I believe Earth Sciences is better, because it is more concise, less tautological (the atmosphere is surely part of the earth), and less ambiguous (biology isn't even potentially included).