You can remove the icemaker fairly easily. Here's the service manual section:
http://www.applianceblog.com/manuals/in-door_ice4322658A.pdf
I'd advise you let the freezer warm up to room temperature before trying so the plastic parts won't be as brittle.
However, if you turn the freezer off, you could just use some warm water, pour it into the ice maker, and then drain it with a sponge. Repeat as needed. If that's all that's wrong, you're ready to go!
mickblu, October 2007