Can we date more exactly the coin at hand within the 328-320 B.C. period in order to understand whether it is an Alexander lifetime issue (or not)?
Precise dating is possible with this emission:
Your coin is an example of
Price 3332 and is an early
posthumous issue. This is certain, because an example of the
type is known with an
obverse die shared with
Price P165 in the name of Philip III. Refer to the extract of Price's Aradus text (jpeg copy below) for reference to this
obverse die match. The die match places this emission (
Price 3332) after the ascension of Philip III Arrhidaios to the throne i.e. after the death of
Alexander the Great in 323 BC.
This story takes a few more twists and turns since Price's publication. P165 attributed to Marathus by
Price, was moved to Aradus by Houghton, thence to
Babylonia Uncertain
Mint 6A by
Houghton and Lorber Seleucid Coins so the current
attribution of the Philip III
obverse die match referred to by
Price is
Price P165 = SC Ad39.1 = the first emission from
Babylonia Uncertain
Mint 6A. Now the
obverse die used for the first coin in this emission was transported by Seleukos from Arados to
Babylonia after the settlement of Triparadesios in July 320 BC and is in fact the same
obverse die referenced by
Price in connection with
Price 3332.
Thus this Arados Alexander emission
Price 3332 can be dated to between the death of
Alexander the Great (June 323 BC) and the settlement of Triparadesios (July 320 BC) probably closer the later date than the former date.
You can find more info on this die match and the die travels on two examples of P165 posted in my
gallery:
[DEAD LINK REMOVED BY ADMIN]
[DEAD LINK REMOVED BY ADMIN]
which include some details of other previously undocumented
obverse die matches which reinforce the story and dating.