Ok, here's what I did. First, I gave the Time Capsule and the TC Disk a shorter name. The "<First Name> <Last Name>'s Time Capsule" has been giving people problems from what I've read online.
If that doesn't work, try setting up a network. In your Network Connections in Control Panel, select "Set up a home or small office network" from the left panel. Continue hitting next until you get to "Select a connection method." Choose the second option (connects thru residential gateway) and hit next again. Give your computer a description and name. Next is the workgroup name. I have mine set to MSHOME but you can choose whichever name you want (remember this name). Choose "Turn on file and printer sharing" and continue through to the end (select "Just finish the wizard" when you're prompted).
Now, go into your AirPort Utility, select Disks, File Sharing, and near the bottom, enter your workgroup that you just created (the name from earlier). I've left the WINS Server empty, so I don't think it's necessary to fill that in. Update TC and possibly restart your PC, and your TC HDD should be listed in your "My Network Places".