I fly with mine several times a month. No special considerations are needed, nor storage other than a checked (no carry-on) locked case as it is still considered a controlled item. Just make sure you follow your local hunting laws wherever your destination is. In addition, I keep my approved form 4s in the case. TSA is not ATF enforcement, and they cannot prove or disprove/validate the legality of your suppressor. However, instead of fighting that battle I just show them the paperwork with my name and serial. I keep the paperwork in a gallon Ziploc bag taped to the inside lid of my cases. It also includes additional zip ties in case somebody feels the need to cut a lock. The zip ties are heavy duty.