Taper Angle / Draft complex part

[cmcmorrisH34GF]

Hello!  I am new to Fusion 360.  I am trying to add a taper to the outside face of a model but keep getting errors every method I try.  I have tried extruding with a taper, drafting, and using loft.  However none seem to work on this model.  Any help would be much appreciated. 

Background: The initial sketch was created in Illustrator, then imported as a DXF.  

[wmhazzard]

It's not likely to be able to get that to draft. The problem comes from the DXF with near tangent lines and many short segments. 

I would recommend, turning on capture design history and creating a new sketch and trace the body with control point splines and lines with tangent constraints where needed and use the fix tool as you go. Then extrude a new body with taper. 

It will be time consuming but it will give the best results.