TIF's wonderful Elagabalus makes me think of my 'cast in Gaul' http://www.forumancientcoins.com/moonmoth/coins/caracalla_049.html as of Geta with Minerva seated facing snake. This is a rare type of which I have only had two, both 'cast in Gaul'. There are at least two regular ones that show up in sales on occasion. https://www.cngcoins.com/Coin.aspx?CoinID=226185
This extremely rare coin may depict a mysterious medical myth. MYSIA, Parion 200-44 BC, AE18 4.48g Obv: Helmeted Athena athena head right, owl behind Rev: PARI; Woman (of the Ophiogene family?) seated on rock feeding snake Weber #5147; Mionnet vol V page 387, #647 Apparently both Strabo and Pliny mention that there existed in Parion a family called the Ophiogenes. This family had the power to cure the bite of a snake by merely touching the person that had been bitten. I assume that is why a cataloger speculated the woman on the reverse to be a member of that family.
I have one of Aesculapius from the Gallic Empire, but I suppose its Roman enough for us ancient history buffs.
Here's one issued by the same moneyer as @Alegandron's coin: L. Rubrius Dossenus. He was a loyalist of Sulla during Sulla's first civil war, and an ally of Cinna. The frequent depiction of Asclepius on his coins may be tied to the plague that struck Rome while it was besieged by Cinna and Marius. Not the best photo (or coin), but you can make out the snake rising from the pillar between the faces of Janus. L. Rubrius Dossenus, 87 BC, AE As. Obv: Laureate head of Janus, altar with serpent coiled around it between Rev: Prow of galley right, RVBRI DOSSEN above Crawford 348/5
Here's Salus feeding a serpent, on the reverse of a sestertius of Crispina, but the snake isn't that noticeable.