How to surface odd shaped 3D geometry with a single entity?

[Asterisk]

I'm new to surfacing (3Dface, region, loft)

 

Is there a way to surface this geometry with a single surface entity?

 

I had to use 2 lofts to "surface it" instead of region due to lines being non-coplanar with the arc (in other words top most corner is higher than the other adjacent 3 corners).

 

[Asterisk]

bump for luck.

[ReMark]

Can I ask why it would be necessary?

[Asterisk]

Psychological thing. Not critical at all, but I'd like to know if it's possible or not.

[SLW210]

What is the geometry?

[Asterisk]

Lines and Arc.

[SLW210]

Can you post a drawing?

[ReMark]

Yes, I think it could definitely be done.

[Asterisk]

Here ya go.

Canopy.dwg

[ReMark]

Just finished this before you posted your drawing.

Is this kind of what you had in mind?

[Asterisk]

Yeah, assuming some of your contour geometry isn't co-planar. What is that surface and how did you do it?

[ReMark]

I first created it as a solid then used the Solid-to-Surface feature of AutoCAD.