Hey Steve,
IIRC, a post I read a few years back mentioned that the distance between the heads on an Otari 5050 series will play staggered tracks correctly. If I remember correctly, you have to switch the record head to playback for one channel or something like that. I guess I need to do a search in the ARSC archives or just ask on their list.
If I can figure it out, I'll post back here for other folks with old staggered track tapes.