The answer, it ended up, was laying in my camera bag. The simplest solution is to just set up the projector and screen and take photos of the screen. The results will not be as high quality as scanning them but for viewing on a TV and making 4x6 prints the quality is acceptable.
*Note: I've since viewed the images on my 46" HDTV using my PS3 and the results don't look that different from watching them on the projector screen itself ;)
What you'll need:
1) Tripod - This is a must
2) Cable Release - While not absolutely necessary it can reduce camera shake and result in a clearer picture
3) A camera capable of long shutter speeds (even most point and shoot cameras allow this now)
4) Projector, Slides, and a Screen
5) A darkened room
6) Photo editing software for cropping/colour correcting etc (Photoshop, Lightroom, Picasa etc)
Step 1: First things first, what are we dealing with here?
When taking pictures of slides in this fashion there are a few things to consider.
1) We're shooting in low light
2) We're shooting a stationary object
3) We want the reproduction as sharp as possible
4) We want to limit the perspective distortion as much as possible.