The first _G_ is serifless on the lower rhs [like TNR], the second _G_ has a serif. So not a font?
But compare with Donald Trump's trademark application for the word mark MAKE-AMERICA-GREAT-AGAIN
http://www.trademarkologist.com/files/2016/05/MAKE-AMERICA-GREAT-AGAIN-page.jpg
Perhaps the hat maker is producing a garbled version of TNR?

National forest is one of several custom lettered logotypes

Specified in the US Forest Service "Sign and Poster Guidelines for the Forest Service"
http://www.fs.usda.gov/Internet/FSE_DOCUMENTS/stelprd3810021.pdf
The Guidelines include vector outlines of the logotypes.
Note the differences in repeating letters such as _a_ and _t_.
Perhaps the closest substitute is Brody, particularly if the tips of the strokes are rounded
Also the very similar Brophy Script http://myfonts.us/td-ZRLSbA

This one

NOT THE FONT because of different leg on _R_ and diagonal stroke on _S_, but otherwise works as a substitute: Silverscreen

Seems hand lettered.
Blitz Condensed -- NOT THE FONT -- could be used as an approximate substitute

Edited _a_ and _h_

Hand-lettered by Simon Walker for Ed Helms' production company:
http://www.simonwalkertype.com/#/pacific-electric-picture-co/

Custom?
Some versions do not use a unicase a:
http://balkan-autoliker.com/assets/img/balkan1.png
http://balkan-autoliker.com/assets/img/balkan2.png
http://balkan-autoliker.com/assets/img/balkan3.png

Might be custom lettering
Similar tilde shaped crosstrokes are found in Desire
E: http://www.myfonts.com/fonts/charlesborges/desire/regular/glyphs.html#glyphs/641612/300
A: http://www.myfonts.com/fonts/charlesborges/desire/regular/glyphs.html#glyphs/641612/234
H: http://www.myfonts.com/fonts/charlesborges/desire/regular/glyphs.html#glyphs/641612/417
which also has a similar R: http://www.myfonts.com/fonts/charlesborges/desire/regular/glyphs.html#glyphs/641612/633
NOT THE FONT: Desire Pro

Another possibility is Dharma Gothic Heavy, with the _L_ flipped to make _T_ and the leg from _K_ pasted on _P_ to make _R_, plus various minor adjustments

One possibility is Compacta Bold, with the _L_ flipped to make _T_ and the leg from _K_ pasted on _P_ to make _R_, plus various minor adjustments

_anchete_

Mi Bautizo