Best way to shell this?

I've tried everything I can think of but Shell's not working.  I've ever tried offset surfacesto cut to, deleting faces and just thickening surfaces and even a few types of loft surfaces.  Any clue how to get the bottom bulge to be .0877" thick?  My surfacing skill suck, so I'm sure that's not helping at all.

SolidworksParts And Features