Okay, here's some pictures of what I'm dealing with. They're kinda crappy because smartphone cameras don't play nice with confined spaces, but here they are:
You can see how the transmission cooler lines nicely are in the way (and I can't get a wrench on one of the fittings, so that's out of the question), and how the headers trap the starter. The last picture (poorly) shows how the pitman arm might create a gap for the starter if removed.