Very old light meters do not calibrate to present day films, but there are newer used light meters that may fill your needs. I think that they will all run on batteries.
Yes, an incident light meter will provide the proper reading for a distance scene as long as the meter is in the same light. If the light meter is in the shade, it will give incorrect readings for distant mountains. If the light meter is in the sun, it will give correct readings for distant mountains.
I like the Gossen Luna Pro SBC light meter, but mine likes to eat 9 volt batteries. On the other hand also does incident readings [as well as reflectance readings], it allows one to do compensation for filters as will as allow one to take a reading for part of the subject in the shade and set the exposure for that Zone [Zone System reading]. So I carry extra 9 volt batteries. You can find used ones for well under $100US.