Would it work to save the sketch as a .jpg and then bring it in as a sketch picture?
That is an interesting thought. I will play around with that to see if it works the way I want it to. The only issues I can see are, converting it to a .dwg and resolution if the drawing gets printed larger.
I still feel like there is some way to make Solidworks change what gets overlapped in a drawing, I just can't find it...
It worked great, that saved me a lot of time.