I just watched a new (Season 3, Part 2) episode where he goes to Transylvania, Romania and he was wearing a black or gray dial Emergency on black Diver Pro strap. Edit: I just watched the Yukon episode tonight and he was wearing it again. The dial did look more grey than black...did Breitling make a grey dial?
In the Hell's Canyon, Oregon episode he had something else that I could not get a good look at, but it wasn't a Breitling or a Bremont ALT1-P. I could make out a subdial at 6 o'clock (and another at 12 I think) but not at 9 o'clock that had shiny circular outlines...like this Tag Carrera:

I doubt it was actually a Carrera, though, because he spent a
lot of time in water, and the Carrera is only water-proof to 50M. It was probably a diver's watch. Any guesses? The texturing of the dial made me think "Oris", but I did not see the multicolor bezel of the Oris TT1 Diver:

Mofongo