I didn't find bankrate.com to be that useful in local rates; it just showed a few banks and none of them had above average banks.
I'd like to find an online source for it too. I asked one of my banks if they had their rates online, and they said no, because it changed too often.
I have learned from experience that certain banks in my area tend to run CD specials much more often than others. I have also noticed that on Sundays, some banks will put an ad w/ their special rate in the paper.
So I'm afraid you'll just have to make some phone calls. Choose some smaller, more independent banks and call them first.
bankrate.com