Josh,
http://www.ourcomments.org/cgi-bin/emacsw32-dl-latest.pl
Get the patched version. It's Emacs 22, and it is the best emacs distribution you'll find on any platform in my opinion.
If you don't mind downloading the org zip file and installing it yourself I think you'll be very happy with EmacsW32. One advantage of installing org-mode yourself is that you can keep it up to date and receive the new features sooner. Btw, you won't need administrator access to install org mode, just EmacsW32 I'm guessing. You also should be able to just run M-x byte-compile-file on the org-mode files to compile them so you won't have to install make.