I did all in Shapr3D.
Profile:
Sweep:
Subtract:
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It is yours. I just quickly copied it to show the result.
This might be another way (if not already suggested).
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Here’s a much cleaner version using Loft. My previous version left a slight dip at the center bottom center of the chamfer.
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Put more effort into the loft example.
One of the benefit of loft method is you have full control and can do continuous clean fillet.
Off topic but.
This was a good exercise and break from making this roof that I’m struggling with. Electric guitar reminded me of this. I think it will help me finish this funky roof.
LOL!!! Okay, great! Thanks for your help . . . . I’m going to download these screen shots and see if I can figure out how you did it. Certainly moves the needle for me and I know it can be done.
Very interesting! Thanks @TigerMike !
I think I did it. Two screen shots - perspective and side view. On the side view, the curvature flowing bottom line seems a bit odd, thoughts?
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One of the issue with the sweep, you are making it wider and narrower on the ends.
If you do sweeps you might want to do it from the side vs top. Your cutting down you want to cut up hope that makes sense.
Not sure I understand what oddness you’re referring to 
It looks expected to me. Maybe I just didn’t understand what result you were expecting.
I believe you are on the right track. It all comes down to the sweep spline line relative to the outer shape. In the top view of my example note how the line gently tapers to both ends while maintaining a uniform offset throughout the middle. I figure the ends taper about 25% (+/-) and the middle 50% is the uniform offset (all eyeballed). I agree with @Xdrakosha that the result will look as expected.
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Mike explained it well, if you take my suggestion and sweep the curve made on the side profile it will look great from the side but not match the sketch you drew on the top.
If you need complete control of the side and the top is where the loft can help.
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