Ancient Coin Law

I usually put 'religious' token. Well most of the modern AE I ship might say 'so and so' D G REGINA (By grace of god Queen) and the ancients will almost always have a God or Goddess or P M or some sort of allusion to a diety. Sounds religious to me !

I've shipped ancient coins to Israel in the past and had no problem even listing them as ancient coins on the shipping document.

Very interesting, I didn't realize there was an issue. Although recently I shipped many boxes of old US coins from the US to a US territory and insuring them was tricky. I ended up sending them by Registered Mail and just put a total value, no detailed list or description was required, but then a customs form wasn't required. They arrived safe and sound. Not sure what would have happened if the package disappeared, whether I would have been reimbursed the stated value without having to provide evidence of content or not. The postal workers were unable to answer that question.

I've never had an issue with USPS. Just tell them you have a coin in there. In your case use "numismatic medallion" to describe it, that's customs speak for "not coin." Always worked for me.
Never call it a counterfeit or fake to the clerks, always say "replica" or "reproduction" which it technically is so you're not lying - just using a more appropriate term.
I've never had a problem shipping to overseas, at least with customs. Just keep it simple with the clerks, anything out of their range of comfort and familiarity confuses them and makes them annoyed. If they start playing the "let's make up a regulation" game just say thank you, and that you'll fix whatever they are griping about and that you'll come back later - then just go to the next post office.
And always remember the KISS principle when dealing with them (keep it simple stupid!). KISS worked well for me in the Navy.
Oh, and always have all your paperwork filled out and signed BEFORE you get to the window. Makes the clerks happy and then they speed you through.