The point many are missing is a cap and ball revolver is NOT classified as a Firearm. Nor is any muzzle loading gun.
Point 2, I've shipped and received many BP pistols and long guns, None sent thru a FFL. Most went thru USPS, no issues. As stated the Flat rate box is your friend, even when adding insurance I've never been asked what's in the box.
Point 3, when I've shipped a BP arm the USPS HAS NEVER ASKED WHAT'S IN THE BOX? They say the line they say 1000 times a day, is it fragile perishable toxic explosive or lithium batteries... and I say No.
Years ago in Criminal Court Prep class they asked us if we knew the time. Those who said yes and those who gave the time were most popular. Our instructor, a retired DA, said everyone who gave the time would lose in court. Because they gave more info than asked. That's been almost 30yrs and i still remember it plainly. I think it's relevant here.
Point 4, the USPS worker's are unliked, cussed, overworked, allowed 3 breaks a day to go pee, stand all day long and have a lot of power deciding if you can ship your package. Do you really wanna tick them off by being an ass?
As a Cop the most common question asked me was how to talk my way out of a ticket.
My standard answer was I've had very few talk their way Out of a ticket, but Many who talked their way INTO a ticket.
Things to consider.