There are loads of rust free cars out there, infact really rusty cars are few and far between, No you wont be able to remove the side skirts, but any owner proud of his car will happily oblige if you pay to get it on a lift to check it out.
Dont be put off by the odd post that talks of rust, but equally don't assume the ones you go to see are rust free, I haven't heard of rusty floor pans being replaced, they aren't old xr3's

Good luck in your search and spend as much as you can, as MOST of the best cars demand good money