I just thought I'd ask, since BTTF and TZ have a few things in common--fantasy/science fiction themes, being set in the same time period for the most part, etc. Alternate Strickland also tells me that the creators of BTTF say that they were inspired to make the movie by a Twilight Zone episode. There were a lot of TZ time travel episodes, but it seems likely that the one they meant is one called "Walking Distance." That one has the most similarities.
If you'd like to visit the most active Twilight Zone board on the Web, check out
http://twilightzonewor.9.forumer.com. I am a moderator there, and your own Alternate Strickland (aka "Flight 33") is the administrator. And a darned good one, too. :D