I think the reason somebody like Imrahil was not given the choice to sail West was because by all known relations he was counted as a Man (as were the other Princes)...I also think since Tolkien never states as fact that the Elf connection was present in Dol Amroth (although he surely hints at it being true, especially when Legolas notes Imrahil's elven presence/blood upon seeing him for the first time), giving the Princes of D.A. a choice to sail over sea would be spoiling the myth and speculation of their elf ancestry.
Since it was never proven, the Princes of D.A. automatically associated themselves with Men - thus, even if they had a choice, they did not know of it, and they would eventually die.
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"Loud and clear it sounds in the valleys of the hills...and then let all the foes of Gondor flee!" -Boromir, The Fellowship of the Ring
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