While on the subject of the Arcadia, the USS Virginia is given credit for destroying it.
According to Wikipedia, the USS Virginia was launched in Scotland as the Pet and became a blockade runner before being captured off Mexico by the USS Wachusetts and USS Sonoma January 18, 1863.
It was purchased by the US Navy after condemnation and renamed the USS Virginia. It spent most of its career operating along the Texas coast. Until the remainder of the war, it either captured or destroyed eleven blockade runners, making a nice sum of money for its crew.
In February, 1865, it helped destroy the Arcadia and was decommissioned July 17, 1865, and sold. It was eventually turned into a barge.
The History of a Ship. --Old B-Runner