At first I didn't understand what you where suggesting since I had already downloaded the Object Desktop Manager, which is the only product that shows up next to a download button on the "My Downloads" page. However, this time I noticed the "View Individual Downloads" link underneath, which reveals links for all the individual products included in the suite.
I tried downloading Fences, using the individual download link, and that appears to have worked. It's a bit annoying to have to download each individual piece of software in this way, but at least it looks like it will work.
Thank you for the assistance. This is my first time purchasing Stardock products, and so far the experience has been rather frustrating. If I can provide any further information to help identify the problem with Object Desktop Manager, then let me know. It would be nice if this program could be fixed so that it worked properly.