Lexington, but pre-conversion

[Reinhard_of_Avercland]

Summary:

The US Navy requested a design of ship as a response to the Kongo-class battlecruiser (not to be confused with the T5 in the game). 6 vessels of this class were ordered,. However the bars set by the US Navy for these ships were way too challenging for the American shipbuilders to accomplish at that time. 4 of them were cancelled, and the rest were converted to CV to comply with the Washington Naval Treaty.

 

Stats:

Displacement:

43,500 long tons (44,200 t)

44,638 long tons (45,354 t) deep load

Length:874 ft (266.4 m) overall

Beam:105 ft 4 in (32.1 m)

Draft:31 ft (9.4 m)

Installed power:

180,000 shp (130,000 kW)

Speed:33 knots (61 km/h; 38 mph)

Armament:

4 × twin 16-inch (406 mm) guns

14 × single 6-inch (152 mm) guns

4 (later 😎 × single 3-inch (76 mm) AA guns

8 × 21-inch (533 mm) torpedo tubes

Armor:

Belt: 5–7 in (127–178 mm)

Barbettes: 5–9 in (127–229 mm)

Turret face: 11 in (279 mm)

Turret sides: 6 in (152 mm)

Conning tower: 12 in (305 mm)

Deck: 1.5–2.25 in (38–57 mm)

 

Additional suggestions:

Name:

- Lexington (CV would be renamed to Saratoga)

- Constellation, Constitution, or United States (the designated names for the cancelled ships, the one I don't mention was Ranger)

Tier:

- 7

Balancing:

- Replace some or all torpedo tubes with additional AA mounts or small caliber secondary mounts

- Her turning radius should be similar to Hood's (about 900m), and her base rudder shift is between 13 to 15 secs)

- Her gun reload time, range, dispersion, and sigma should be similar to Colorado (nerf it a bit if WG allows her to keep some/all her torpedoes)

- Her consumables are; DMGcon (BB standard), Repair Party (equivalent to Colorado's), and possibly Spotting Aircraft (the US Navy planned to mount the catapult launcher on her aft as a part of her future retrofit)

[S0und_Theif]

I actually tried suggesting them. Check the US tech tree suggestion.

USS Lexington is already a carrier. Though they can break that trend by labeling USS Lexington with a year model like "W. Virginia". Though that is uncertain.
USS Saratoga may or may not be both a carrier or a premium due to her service in WW2 and survived the war like USS Enterprise. 
USS Constitution and USS Constellation are your best bet as a battlecruiser for the tech tree.

And this idea just came to me just now, USS United States will be a premium,  and she will received the 1944 upgrade of the USS Tennessee and/or USS West Virginia look when they returned to service. Losing the "Cage Mast or Lattice Mast" and replacing them with "Tower Masts (I think that's what its called? Correct me if I'm wrong.)".

Although those were not historical, I bet HMS Hood would have received her upgrades to look like HMS Renown. If only WW2 did not early or KMS Bismarck did not sink her. Either scenario, HMS Hood and HMS Repulse would have been upgraded with the "Queen Ann's Mansion" superstructure.
 

T7 USS Constitution (CC5 Lexington class Battlecruiser)

Armament:
8 – 16 in (406 mm)/45 guns (4 x 2)
14 – 6 in (152 mm)/53 guns (14 x 1)
8 - 3 in (76 mm) AA guns (8 x 1)

Armor:
Belt: 5–7 in (127–178 mm)
Barbettes: 5–9 in (127–229 mm)
Conning tower: 12 in (305 mm)
Deck: 1.5–2.25 in (38–57 mm)

Note: She complements USS Colorado and mirrors HMS Hood at T7
Note: Fast ship, good guns, but poor AA and armor
Note: You will still progress to T8 after this tier. No need to research the other T7, unless you want to collect them.

T7 USS Constellation (CC2 Lexington class Battlecruiser)

Armament:
10 – 14 in (356 mm)/45 guns (2 x 3 and 2 x 2)
14 – 6 in (152 mm)/53 guns (14 x 1)
8 - 3 in (76 mm) AA guns (8 x 1)

Armor:
Belt: 5–7 in (127–178 mm)
Barbettes: 5–9 in (127–229 mm)
Conning tower: 12 in (305 mm)
Deck: 1.5–2.25 in (38–57 mm)

Note: Note: She complements USS Colorado and mirrors HMS Hood at T7 but with 10 guns insted of 12 guns
Note: Fast ship, good guns, but poor AA and armor
Note: You will still progress to T8 after this tier. No need to research the other T7, unless you want to collect them.

Credits to the artist who drew this.

[Reinhard_of_Avercland]

Yeah since WG released P.E. Friedrich with her hypothetical refit, I'm sure WG would treat this ship similarly. And this ship would fit at T7 because the US line already gets Arizona & W.Virginia at T6, and Alabama & Massachusetts at T8.