What Wyoming statute were you charged with violating?
Well, the news article said "arrested" but the video shows you were "detained" and restrained. So there is no statutory charge.
It appears to me the LEO was basically insecure. He would never make it as a wildlife officer. Anyone who has an inane fear of an armed person acting peaceably and calmly has no business being in law enforcement.
Officers should be more concerned about the weapon we don't see than the one we do see.
Being the LEO did not observe a traffic violation - a civil infraction not even a misdemeanor in most cases- he should not have effected a stop. That and the length of time you were cuffed absent anything that would indicate the slightest threat should make a good civil case.
If you hang in there the Sheriff's Office will probably offer a reasonable settlement.