Alexander the Great wearing Herakles' lion skin is a familiar monetary type, approved by Alexander himself. I like his elephant skin too. I don't know if there were any portraits with the elephant skin during Alexander's lifetime, or if the oldest ones are on tetradrachms minted by Ptolemy I Soter, as satrap or king, after 323 BC. AE 24 mm, 10.18 g, 12 h Ptolemy II Philadelphos (285-246 BC), Æ Obol, Alexandria mint. Series 3, circa mid/late 260s-246 BC. Obv.: diademed head of Alexander the Great right, wearing elephant skin (same die as Gorny & Mosch Online Auction 301.106) Rev.: ΠΤΟΛΕΜΑΙΟY ΒΑΣΙΛΕΩΣ, eagle with spread wings, standing left on thunderbolt, E between legs. Svoronos 450 Acq. in Damascus, Syria. The elephant-skin headgear, initially an attribute of the deified Alexander the Great, was later given to other kings and deities : Demetrios I Aniketos and Lysias Aniketos, both kings of Bactria; personifications of the city of Alexandria and the province of Africa. Please feel free to share your coins with elephant skin headgears...
Here's Carthage wearing an elephant skin headdress; though only the trunk is readily discernible. She is also carrying a tusk. Constantine I A.D. 307 28mm 8.7g FL VAL CONSTANTINVS NOB CAES; laureate head right. CONSERVATOR AFRICAE SVAE; Africa standing facing, head left, in long drapery with elephant- skin head-dress, right holding standard, left tusk, at feet to left lion with captured bull, in right field I.; SE in left field, F in right. In ex. Δ RIC VI Carthage 58