Quite special geometry, how to approach it?

 From:  Mike K4ICY (MAJIKMIKE)
5791.4 
Okay... Here's another try:




I did Sweeps to make up the contoured sided, then I made Blends to match the edge regions of each section... I used Trim, of course to get my shorter edge sections.

Just for fun I formed the middle region with the new N-Sided tool.

It's not perfect, but it represents another approach, but with a little more control.