I really don't have much to go on, not even really a good description of the episode.
This afternoon while I was sitting down having lunch, the topic of Brandon Lee accidentally being shot came up. Then my mom said she remembered the star of an old tv show having the same thing happen to him.
Her description of the show was that it was a show about a guy who travelled through time. The only other description she could give me was that he was a big blonde guy. However, she did say the way he died was he took a gun full of blanks, put it to his head and pulled the trigger. Apparently thinking the blanks wouldn't harm him, nevertheless, he shot himself.
The thing is, the story sounds vaguely familiar, as does the show (one more thing, she said the show was very short lived). I'm afraid that's all I got though.