So, what does it take to get a small fast ship?

By taking some extreme measures in Springsharp 3.0b2 Beta, I was able to get a 35 knot destroyer leader, not in 1909, but in 1917. The extreme measures include the lightest possible machinery, a narrow beam, a high freeboard, and a deep draft. This is the result: the Ger/DL/1917. The ship has 4-5in guns and 4-23.6in TT. This is the Springsharp report:

Ger/DL/1917, Germany Destroyer Leader laid down 1917 (Engine 1950)

Displacement:
 1,704 t light; 1,772 t standard; 1,971 t normal; 2,131 t full load

Dimensions: Length (overall / waterline) x beam x draught (normal/deep)
 (353.23 ft / 350.00 ft) x 32.00 ft x (14.00 / 14.79 ft)
 (107.67 m / 106.68 m) x 9.75 m  x (4.27 / 4.51 m)

Armament:
      4 - 5.00" / 127 mm 50.0 cal guns - 65.00lbs / 29.48kg shells, 150 per gun
   Quick firing guns in deck and hoist mounts, 1917 Model
   3 x Single mounts on centreline ends, majority aft
   1 x Single mount on centreline, aft deck forward
  1 raised mount aft
      Weight of broadside 260 lbs / 118 kg
      4 - 23.6" / 599 mm, 22.00 ft / 6.71 m torpedoes - 1.751 t each, 7.005 t total
 In 2 sets of deck mounted centre rotating tubes

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

Machinery:
 Oil fired boilers, steam turbines, 
 Geared drive, 2 shafts, 55,449 shp / 41,365 Kw = 35.00 kts
 Range 4,800nm at 15.00 kts
 Bunker at max displacement = 359 tons

Complement:
 147 - 192

Cost:
 £0.422 million / $1.689 million

Distribution of weights at normal displacement:
 Armament: 86 tons, 4.4 %
    - Guns: 79 tons, 4.0 %
    - Torpedoes: 7 tons, 0.4 %
 Armour: 60 tons, 3.0 %
    - Armament: 60 tons, 3.0 %
 Machinery: 1,033 tons, 52.4 %
 Hull, fittings & equipment: 525 tons, 26.6 %
 Fuel, ammunition & stores: 268 tons, 13.6 %
 Miscellaneous weights: 0 tons, 0.0 %

Overall survivability and seakeeping ability:
 Survivability (Non-critical penetrating hits needed to sink ship):
   436 lbs / 198 Kg = 7.0 x 5.0 " / 127 mm shells or 0.3 torpedoes
 Stability (Unstable if below 1.00): 1.14
 Metacentric height 1.2 ft / 0.4 m
 Roll period: 12.5 seconds
 Steadiness - As gun platform (Average = 50 %): 51 %
   - Recoil effect (Restricted arc if above 1.00): 0.63
 Seaboat quality  (Average = 1.00): 1.01

Hull form characteristics:
 Hull has rise forward of midbreak,
   a normal bow and a round stern
 Block coefficient (normal/deep): 0.440 / 0.450
 Length to Beam Ratio: 10.94 : 1
 'Natural speed' for length: 18.71 kts
 Power going to wave formation at top speed: 70 %
 Trim (Max stability = 0, Max steadiness = 100): 50
 Bow angle (Positive = bow angles forward): 8.00 degrees
 Stern overhang: 0.00 ft / 0.00 m
 Freeboard (% = length of deck as a percentage of waterline length):
    Fore end,  Aft end
    - Forecastle: 15.00 %,  23.00 ft / 7.01 m,  22.00 ft / 6.71 m
    - Forward deck: 17.00 %,  22.00 ft / 6.71 m,  22.00 ft / 6.71 m
    - Aft deck: 53.00 %,  14.00 ft / 4.27 m,  14.00 ft / 4.27 m
    - Quarter deck: 15.00 %,  14.00 ft / 4.27 m,  14.00 ft / 4.27 m
    - Average freeboard:  16.62 ft / 5.07 m

Ship space, strength and comments:
 Space - Hull below water (magazines/engines, low = better): 182.0 %
  - Above water (accommodation/working, high = better): 116.7 %
 Waterplane Area: 7,087 Square feet or 658 Square metres
 Displacement factor (Displacement / loading): 66 %
 Structure weight / hull surface area: 33 lbs/sq ft or 162 Kg/sq metre
 Hull strength (Relative):
  - Cross-sectional: 0.43
  - Longitudinal: 2.64
  - Overall: 0.52
 Hull space for machinery, storage, compartmentation is cramped
 Room for accommodation and workspaces is adequate