So, what could a fast battleship alterative to the Lion looked like?

Suppose the British had decided to build a fast battleship instead of the Lion class. In fact, they could have built 4 fast battleships instead of the 21 knot battleships and the two battlecruisers. I kept the armament down to 8-13.5in and 16-4in guns, along with 4-21in TT submerged. The armor basis is 11in, and the speed is 27 knots. They would have totally outclassed the Germans. The angle is the machinery weight, which is 22.4 SHP/ton. I stayed with coal-fired boilers as that is what they were using except for destroyers. Here is the Springsharp report:

GB/BB/1909 Fast, Great Britain Battleship laid down 1909 (Engine 1911)

Displacement:
 26,987 t light; 28,160 t standard; 32,404 t normal; 35,799 t full load

Dimensions: Length overall / water x beam x draught
 700.00 ft / 700.00 ft x 94.00 ft x 31.00 ft (normal load)
 213.36 m / 213.36 m x 28.65 m  x 9.45 m

Armament:
      8 - 13.50" / 343 mm guns (4x2 guns), 1,230.19lbs / 558.00kg shells, 1909 Model
   Breech loading guns in turrets (on barbettes)
   on centreline ends, evenly spread
      16 - 4.00" / 102 mm guns in single mounts, 32.00lbs / 14.51kg shells, 1909 Model
   Quick firing guns in casemate mounts 
   on side, all amidships
 Weight of broadside 10,354 lbs / 4,696 kg
 Shells per gun, main battery: 90
 4 - 21.0" / 533.4 mm submerged torpedo tubes

Armour:
   - Belts:  Width (max) Length (avg)  Height (avg)
 Main: 11.0" / 279 mm 465.00 ft / 141.73 m 17.00 ft / 5.18 m
 Ends: 5.00" / 127 mm 235.00 ft / 71.63 m 17.00 ft / 5.18 m
   Main Belt covers 102 % of normal length

   - Torpedo Bulkhead:
  1.50" / 38 mm 465.00 ft / 141.73 m 27.00 ft / 8.23 m

   - Gun armour: Face (max) Other gunhouse (avg) Barbette/hoist (max)
 Main: 11.0" / 279 mm 7.00" / 178 mm  11.0" / 279 mm
 2nd: 2.00" / 51 mm       -         -

   - Armour deck: 2.50" / 64 mm, Conning tower: 11.00" / 279 mm

Machinery:
 Coal fired boilers, steam turbines, 
 Direct drive, 4 shafts, 88,383 shp / 65,934 Kw = 27.00 kts
 Range 7,500nm at 15.00 kts
 Bunker at max displacement = 7,639 tons (100% coal)

Complement:
 1,206 - 1,569

Cost:
 £2.584 million / $10.336 million

Distribution of weights at normal displacement:
 Armament: 1,294 tons, 4.0 %
 Armour: 9,906 tons, 30.6 %
    - Belts: 4,456 tons, 13.8 %
    - Torpedo bulkhead: 697 tons, 2.2 %
    - Armament: 2,376 tons, 7.3 %
    - Armour Deck: 2,136 tons, 6.6 %
    - Conning Tower: 241 tons, 0.7 %
 Machinery: 3,946 tons, 12.2 %
 Hull, fittings & equipment: 11,842 tons, 36.5 %
 Fuel, ammunition & stores: 5,416 tons, 16.7 %
 Miscellaneous weights: 0 tons, 0.0 %

Overall survivability and seakeeping ability:
 Survivability (Non-critical penetrating hits needed to sink ship):
   50,616 lbs / 22,959 Kg = 41.1 x 13.5 " / 343 mm shells or 7.0 torpedoes
 Stability (Unstable if below 1.00): 1.15
 Metacentric height 5.9 ft / 1.8 m
 Roll period: 16.2 seconds
 Steadiness - As gun platform (Average = 50 %): 78 %
   - Recoil effect (Restricted arc if above 1.00): 0.69
 Seaboat quality  (Average = 1.00): 1.55

Hull form characteristics:
 Hull has rise forward of midbreak
 Block coefficient: 0.556
 Length to Beam Ratio: 7.45 : 1
 'Natural speed' for length: 26.46 kts
 Power going to wave formation at top speed: 49 %
 Trim (Max stability = 0, Max steadiness = 100): 50
 Bow angle (Positive = bow angles forward): -2.00 degrees
 Stern overhang: -2.00 ft / -0.61 m
 Freeboard (% = measuring location as a percentage of overall length):
    - Stem:  31.00 ft / 9.45 m
    - Forecastle (20 %): 29.00 ft / 8.84 m
    - Mid (67 %):  29.00 ft / 8.84 m (21.00 ft / 6.40 m aft of break)
    - Quarterdeck (15 %): 21.00 ft / 6.40 m
    - Stern:  21.00 ft / 6.40 m
    - Average freeboard: 26.52 ft / 8.08 m

Ship space, strength and comments:
 Space - Hull below water (magazines/engines, low = better): 91.1 %
  - Above water (accommodation/working, high = better): 195.4 %
 Waterplane Area: 46,180 Square feet or 4,290 Square metres
 Displacement factor (Displacement / loading): 115 %
 Structure weight / hull surface area: 169 lbs/sq ft or 826 Kg/sq metre
 Hull strength (Relative):
  - Cross-sectional: 0.95
  - Longitudinal: 1.65
  - Overall: 1.00
 Hull space for machinery, storage, compartmentation is adequate
 Room for accommodation and workspaces is excellent
 Ship has slow, easy roll, a good, steady gun platform
 Excellent seaboat, comfortable, can fire her guns in the heaviest weather