The Mating Game (Whitton Family Trilogy)
Claudia Dain

ClaudiaSnowflakeAchilles, a naval officer without a ship, agrees to travel to India and marry one of Danby's nieces, whichever one he chooses; in return, he will have "connection" and a place upon a ship of the line in His Majesty's navy. Unfortunately for Achilles, nothing goes as Danby ordained. He is shipwrecked, attacked by pirates, beset by storms, shipwrecked again, and finally walks across most of India, making his way to Jeanne. Or Julia. Or Judith. He has no idea which sister will be his chosen bride. Until the girls fall off an elephant crossing a river. Then he knows that Jeanne is for him. Can he survive the courtship? Jeanne is determined that, yes, he will.
Previously released in an anthology collection. This novella is not part of the Courtesan Chronicles.