Sorry, it was something I watched probably over 30 years ago. It was only noteworthy because I couldn't imagine another show that would have continued rather than waiting for the strike to conclude. I believe it was multiple episodes as part of the same story line, probably starring Tom Baker, but I can't even be sure of that.
May I ask - are you based in the US? You may be remembering the US syndicated version of “Resurrection of the Daleks” which mistakenly aired without music or sound effects. The story was completed with a full dub, however, and aired in the UK correctly.
Yes, I'm in the US. And it's entirely possible that I've got the back story for the missing sound completely wrong, I don't remember how I got that information.