@salmon_cannon I found numerous very similar "brush fonts", but not the exact typeface. I don't remember if they digitized this one or not.
Okay, so I was reading through the Sign and Poster Guidelines for the Forest Service, and my initial impressions is that "National Forest" is a logotype, not a font family. Meaning an illustrator drew those letters on commission and no type/font family was developed.
https://www.fs.usda.gov/Internet/FSE_DOCUMENTS/stelprd3810021.pdf