Bondo,
I am just learning here, but I am pretty sure the model is of LV112.
According to Lightship Sailors Org:
http://www.uscglightshipsailors.org/nantucket_lightship_station_history.htm
1896-1907: LV-66
1907-1923: LV-85 / WAL-510
1923-1931: LV-106 / WAL-528
1931-1934: LV-117
1934-1936: LV-106 / WAL-528
1936-1942 LV-112 / WAL-534
1942-1945: marked by a buoy during World War II
1945-1958: LV-112 / WAL-534
1958-1960: WLV-196
1960-1975: LV-112 / WAL-534
According to Wikipedia;
Lightship 85
Lightship 85, a wooden lightship, was built in 1907 at Camden, NJ for $99,000.00. Lightship 85 was transferred to the U.S. Navy by Executive Order on April 11, 1917, along with the entire Lighthouse Service. While in the Navy during World War I she continued her former peacetime routine warning shipping away from Nantucket Shoals and also aided in guarding nearby waters against German U-boats. Sailors from the Lightship aided in the rescue of people after the Boston Molasses Disaster, partly because it was docked nearby. After peace was restored in 1919, Lightship 85 was returned to the U.S. Commerce Department. Lightship 85 was placed in relief service following replacement by Lightship 106 in 1923.
So the model has rivets and the box art work looks like the picture of 112 below:
Plus... as I fish through the parts I find that the RADAR parts are included, although the directions do not call for them.
So I am sticking with the plan to model her as she appeared post-WWII and pre-refit.
Coast Guard colors, 48 star flag, radar(!) and SPAR paint!