Meanwhile, I intermittently searched the web (and various RPM/app sites) aggressively for a RPM repository, but all I found were repos for other distros, and the knowledge that LibreOffice will be available in Fedora 15 (which doesn't help me now). Finally, Sunday night I discovered a Fedora-based repository with LibreOffice, courtesy of an intriguing distro I've never heard of before called Kororaa.
Their repo file didn't work right away (package managers kept telling me the repository was inaccessible), but a lucky guess let me figure out how to fix it. Open a terminal/console and do "su" so you become root, then download their .repo file per their instructions:
wget http://kororaa.org/repos/kororaa.repo -O /etc/yum.repos.d/kororaa.repoOnce you've grabbed it, while still root, open the little bugger with your favorite text editor (I like nano):
nano /etc/yum.repos.d/kororaa.repoOn the "baseurl" line, change the part bolded here from the original:
http://kororaa.org/repos/kororaa/$releasever/$basearchover to a more useful (as of right now; the number will change):
http://kororaa.org/repos/kororaa/14/$basearch/(I'm not using Fedora 14 on this machine, but it doesn't seem to matter.)
All you should have to do from there is use your preferred package manager to remove any old copies of OpenOffice/LibreOffice and install the properly-functioning one from Kororaa. I recommend also trying their distro out because it seems like a very good way to have your cake with Fedora and eat it too.