How about a 36.5 knot British heavy cruiser with 9.2in guns?

I thought that a British fast heavy cruiser with 9.2in guns might be interesting. This ship is designed to be comparable, but more potent, than the Japanese heavy cruisers with 10-8in guns. I added the 8-24in TT as an afterthought, so that they would really be comparable to the Japanese ships. Frank Fox doesn't like torpedo tubes on cruisers, but they seem necessary to me. This is the Springsharp report:

GB/CA/1927 9.2in guns 36.5 knots, Great Britain Battlecruiser laid down 1927 (Engine 1941)

Displacement:
 18,413 t light; 19,079 t standard; 20,800 t normal; 22,177 t full load

Dimensions: Length overall / water x beam x draught
 718.57 ft / 715.00 ft x 70.00 ft x 24.00 ft (normal load)
 219.02 m / 217.93 m x 21.34 m  x 7.32 m

Armament:
      9 - 9.20" / 234 mm guns (2 mounts), 389.34lbs / 176.60kg shells, 1927 Model
   Breech loading guns in turrets (on barbettes)
   on side, all forward, 3 raised guns - superfiring
      16 - 4.50" / 114 mm guns (8x2 guns), 45.56lbs / 20.67kg shells, 1927 Model
   Dual purpose guns in turrets (on barbettes)
   on side, all amidships
      32 - 1.57" / 40.0 mm guns (6 mounts), 1.95lbs / 0.89kg shells, 1927 Model
   Anti-aircraft guns in deck mounts with hoists
   on side, all amidships, 4 raised mounts - superfiring
 Weight of broadside 4,296 lbs / 1,948 kg
 Shells per gun, main battery: 100
 8 - 24.0" / 609.6 mm above water torpedoes

Armour:
   - Belts:  Width (max) Length (avg)  Height (avg)
 Main: 3.50" / 89 mm 500.00 ft / 152.40 m 8.00 ft / 2.44 m
 Ends: Unarmoured
 Upper: 3.00" / 76 mm 500.00 ft / 152.40 m 8.00 ft / 2.44 m
   Main Belt covers 108 % of normal length
   Main belt does not fully cover magazines and engineering spaces

   - Torpedo Bulkhead:
  1.00" / 25 mm 500.00 ft / 152.40 m 23.00 ft / 7.01 m

   - Gun armour: Face (max) Other gunhouse (avg) Barbette/hoist (max)
 Main: 5.00" / 127 mm 3.00" / 76 mm  5.00" / 127 mm
 2nd: 2.00" / 51 mm 2.00" / 51 mm  2.00" / 51 mm

   - Armour deck: 3.00" / 76 mm, Conning tower: 5.00" / 127 mm

Machinery:
 Oil fired boilers, steam turbines, 
 Geared drive, 4 shafts, 191,141 shp / 142,591 Kw = 36.50 kts
 Range 6,500nm at 18.00 kts
 Bunker at max displacement = 3,099 tons

Complement:
 865 - 1,125

Cost:
 £6.555 million / $26.221 million

Distribution of weights at normal displacement:
 Armament: 537 tons, 2.6 %
 Armour: 4,504 tons, 21.7 %
    - Belts: 1,072 tons, 5.2 %
    - Torpedo bulkhead: 426 tons, 2.0 %
    - Armament: 795 tons, 3.8 %
    - Armour Deck: 2,130 tons, 10.2 %
    - Conning Tower: 81 tons, 0.4 %
 Machinery: 5,051 tons, 24.3 %
 Hull, fittings & equipment: 8,321 tons, 40.0 %
 Fuel, ammunition & stores: 2,387 tons, 11.5 %
 Miscellaneous weights: 0 tons, 0.0 %

Overall survivability and seakeeping ability:
 Survivability (Non-critical penetrating hits needed to sink ship):
   26,440 lbs / 11,993 Kg = 67.9 x 9.2 " / 234 mm shells or 2.9 torpedoes
 Stability (Unstable if below 1.00): 1.12
 Metacentric height 3.6 ft / 1.1 m
 Roll period: 15.4 seconds
 Steadiness - As gun platform (Average = 50 %): 54 %
   - Recoil effect (Restricted arc if above 1.00): 0.73
 Seaboat quality  (Average = 1.00): 1.07

Hull form characteristics:
 Hull has a flush deck
   and transom stern
 Block coefficient: 0.606
 Length to Beam Ratio: 10.21 : 1
 'Natural speed' for length: 30.14 kts
 Power going to wave formation at top speed: 61 %
 Trim (Max stability = 0, Max steadiness = 100): 50
 Bow angle (Positive = bow angles forward): 6.00 degrees
 Stern overhang: 0.00 ft / 0.00 m
 Freeboard (% = measuring location as a percentage of overall length):
    - Stem:  34.00 ft / 10.36 m
    - Forecastle (20 %): 26.00 ft / 7.92 m
    - Mid (35 %):  26.00 ft / 7.92 m
    - Quarterdeck (15 %): 26.00 ft / 7.92 m
    - Stern:  26.00 ft / 7.92 m
    - Average freeboard: 26.64 ft / 8.12 m

Ship space, strength and comments:
 Space - Hull below water (magazines/engines, low = better): 137.9 %
  - Above water (accommodation/working, high = better): 188.1 %
 Waterplane Area: 38,373 Square feet or 3,565 Square metres
 Displacement factor (Displacement / loading): 110 %
 Structure weight / hull surface area: 132 lbs/sq ft or 644 Kg/sq metre
 Hull strength (Relative):
  - Cross-sectional: 0.94
  - Longitudinal: 1.71
  - Overall: 1.00
 Hull space for machinery, storage, compartmentation is cramped
 Room for accommodation and workspaces is excellent