Help needed finishing this surface

OK. So I have been working on this surface since 2014 and haven’t been able to get this to look right. The surfaces that are completed are final but, I am having trouble finishing the surfaces around the horns and blending them with the existing surfaces. I have drawn contour lines to show what I am trying to achieve. The surfaces around the horns have to swoop up to meet the flat ramp.

Here are photos of what I’m trying to do.

Anyone? I just cant figure out the best way to do this.

I appreciate any help.

you can solve the main surface as you made the back and then solve the transition with the perimeter with BlendSrf

here you have another method: