Here is the US order of battle for the fleet forces that were used at Attu from the Army book linked above. It's a pretty powerful force with a solid surface fleet capacity, but its seriously lacking in air assets. The Nassau only carried 29 Wildcats of various marks and that's it.
Task Force King, Rear Admiral Thomas C. Kinkaid.
(a) Shore-Based Air Group, Maj. Gen. William O. Butler:
(1) Air Striking Unit, Maj. Gen. William O. Butler: 24 heavy bombers, 30 medium bombers, 128 fighters.
__________
--73--
(2) Air Search Unit, Capt. Leslie E. Gehres: 24 PV-1s, 30 PBY-5As, 5 seaplane tenders.
(b) Alaska Sector Escort and Supply Group, Rear Admiral John W. Reeves, Jr.:
1 DD, 1 DMS, 1 DM, 2 DEs (Canadian), 1 PG, 3 AMs, 1 ATF, 4 LSTs, 8 LCT(5)s, miscellaneous small craft.
(c) Motor Torpedo Boat Group
11 MTBs.
(d) Submarine Group.
(e) Southern Covering Group, Rear Admiral Charles H. McMorris:
3 CLs:
Detroit, Capt. Ellis H. Geiselman.
Richmond, Capt. Theodore M. Waldschmidt.
Santa Fe, Capt. Russell S. Berkey.
5 DDs:
Bancroft, Comdr. John L. Melgaard.
Caldwell, Lt. Comdr. Horatio A. Lincoln.
Coghlan, Comdr. Benjamin F. Tompkins.
Frazier, Lt. Comdr. Frank Virden.
Gansevoort, Lt. Comdr. Montgomery L. McCullough, Jr.
(f) Northern Covering Group, Rear Admiral Robert C. Giffen.
3 CAs:
Louisville, Capt. Charles T. Joy.
San Francisco, Capt. Albert F. France.
Wichita, (F), Capt. John J. Mahoney.
4 DDs:
Balch, Comdr. Harold H. Tiemroth.
Hughes, Lt. Comdr. Herbert H. Marable.
Morris, Lt. Comdr. Edward S. Burns.
Mustin, Lt. Comdr. Earl T. Schreiber.
(g) Attu Reinforcement Group, Capt. Charles L. Hutton, USN:
32nd Infantry Regiment, less one battalion, embarked in 1 AP, 4 XAPs, 3 XAKs.
(h) Tanker and Service Group:
6 AOs:
Brazos, Comdr. Richard P. Glass.
Cuyama, Capt. Paul R. Coloney.
Guadalupe, Comdr. Herbert A. Anderson.
Neches, Comdr. Campbell D. Emory.
Platte, Comdr. Harry Keeler, Jr.
Tippecanoe, Comdr. Ralph O. Myers.
--74--
2 ADs:
Black Hawk, Comdr. Edward H. McMenemy.
Markab, Capt. Allen D. Brown.
(i) Shemya Occupation Group, Brig. Gen. John E. Copeland:
4th Infantry Regiment, 18th Engineer Regiment, to be transported in 1 AP, 1 XAP, 3 XAPc's, 1 XAK.
Task Force Roger (Attack Force),32 Rear Admiral Francis W. Rockwell.
(j) Support Group
3 BBs, Rear Admiral Howard F. Klingman:
Pennsylvania, (FF), Capt. William A. Corn.
Idaho, (F), Capt. Horace D. Clarke.
Nevada, Capt. William A. Kitts, III.
1 ACV:
Nassau, Capt. Austin K. Doyle
7 DDs:
Aylwin, Lt. Comdr. Ray E. Malpass.
Edwards, Lt. Comdr. Paul G. Osler.
Hull, Lt. Comdr. Andrew L. Young, Jr.
MacDonough, Lt. Comdr. Erle V.E. Dennett.
Meade, Comdr. Raymond S. Lamb.
Monaghan, Lt. Comdr. Peter H. Horn.
Phelps, Lt. Comdr. John E. Edwards (F, Capt. Ruthven E. Libby, ComDesRon One and Commander Screening Group).
(k) Transport Group, Capt. Pat Buchanan:
4 APA:
J. Franklin Bell, Comdr. John B. McGovern.
Harris, Comdr. Albert M. Van Eaton.
Heywood, Capt. Herbert B. Knowles.
Zeilin, (F), Comdr. Thomas B. Fitzpatrick.
1 XAP:
Perida.
1 APD:
Kane, Lt. Comdr. Freeman D. Miller.
3 DDs:
Dale, Lt. Comdr. Charles W. Aldrich.
Dewey, Lt. Comdr. Joseph P. Canty.
Farragut, Comdr. Henry D. Rozendal.
1 AVD:
Williamson, Lieut. James A. Pridmore.
__________
32 In the actual operation, some units of Task Force King were added to Task Force Roger, including the DDs Abner Read (Comdr. Thomas Burrowes) and Ammen (Lt. Comdr. Henry Williams, Jr.,), the AVP Casco (Comdr. Willis E. Cleaves), the DMS Elliott (Lt. Comdr. Henry Mullins, Jr.), and the ATF Ute (Lieut. William F. Lewis).
--75--
2 DMs:
Sicard, Lt. Comdr. William J. Richter.
Pruitt, Lt. Comdr. Richard C. Williams, Jr.
(l) Minesweeper Group.
2 DMs, Lt. Comdr. Bernhart A. Fuetsch:
Chandler, Lt. Comdr. Harry L. Thompson.
Long, (F), Lt. Comdr. Paul F. Heerbrandt.