If you don't want to set up Selenium yourself, you can use http://saucelabs.com/, which does it in the cloud for you. hugs (Jason Huggins) pops up here on HN from time to time, as well.
Scripted client testing isn't a panacea. A while back we had a similar IE6-only issue which thankfully lasted only a day before we noticed the metric dip.
A push button was, in IE6 only, positioned behind an image with a higher z-index. The (Watir) automated test worked fine, because the button was there and a scripted event could hit it. But human users couldn't see it.
Thanks, that looks like exactly what the doctor ordered. It will still take me a while until I a) understand Selenium well enough to use it productively and b) can write a comprehensive test suite for the high-value customer-visible stuff and c) can figure out how to have the test suite not break (unnecessarily) every time I do an A/B test.