'fraid I can't help with the date, although I might be able to point you in a direction to identify the catalogue...
I've just found several more pictures of 'Iowa' (49 actually), at the Library of Congress website -
http://www.loc.gov/pictures/item/det1994013756/PP/Details for the 'Brooklyn Bridge' image are:
Title: U.S.S. Iowa
Related Names: Detroit Publishing Co. , publisher
Date Created/Published: [between 1897 and 1901]
Medium: 1 negative : glass ; 8 x 10 in.
Reproduction Number: LC-D4-20433 (b&w glass neg.)
Call Number: LC-D4-20433 <P&P> [P&P]
Repository: Library of Congress Prints and Photographs Division Washington, D.C. 20540 USA
Notes: - Date based on Detroit, Catalogue J (1901).
- Brooklyn Bridge in background.
- Detroit Publishing Co. no. 020433.
- Gift; State Historical Society of Colorado; 1949.
Slightly off topic, but not by much, what happened to Brooklyn Bridge? Was it repaired or demolished?