Overlaying & Positioning the ATA Search Bar over a replacement header YOU created?

I almost always replace ATA's header images with one of my own creation. I just delete the 3 header images ATA comes with, and upload my one header image that I created in Photoshop. It always works, but one problem. The Search Bar becomes invisble, even if it's still checked "Yes" in the Show Search Bar? query.

I know I could put a Search Bar in the sidebar w/Widgets, but I prefer a workable Search Bar in the header. If I simply add a search bar graphic when I'm creating my header in Photoshop, it'll look like there's a searchbar there, but it won't be an operable link. And I'm not coder enough to turn that graphic into a workable link.

So is there any way to overlay ATA's own working Search Bar over a self-replaced header? Or what would be your cleanest way of accomplishing this, thanks?