CADRE looks like it may be able to do some analysis work on surface meshes like MoI creates, rather than only volumetric ones: http://www.cadreanalytic.com/
Since geometry can be moved very well from MoI into Rhino, a combination of Rhino + one of these plugins from a company that specializes in this kind of stuff could be a good way to go.
I think that there are a variety of other analysis programs out there as well, so you might keep looking for other ones as well.