hint for modelling techniques

hello

I want to model this kind of car roof box designed by my designer friend:

I have no good idea on how to do it properly - I end up with model that looks pretty much like the intention, but it is full of small fillings, patches etc. I also tried surfacing approach, but I cannot manage to make them fit together.

What would my fellow Solidworkers do?

Thanks for sharing thoughts,

SolidworksParts And Features