I uninstalled and reinstalled Dim Pro last night, on the theory that perhaps Dim LE was the culprit. Also, I would rather have Dim Pro than LE anyway. That went fine, so far no noise. So I'm now using Dim Pro and have turned LE off. Until I get the noise again, that's my theory and I'm sticking to it. If it comes back, I'll continue troubleshooting, considering all the very helpful advice you folks have been giving me.
One thing I wonder about re: Dim Pro: I don't think I've ever got the DXI or 64-bit versions working. I always use the 32-bit version, which has always worked fine. Anyone have a different experience?