This could be an example. Slower than your 32kn designs but the point has been already adressed and I agree an escorting BB would not need to be able to match the top speed of a carrier.
(Small calibers do not yet match Indian guns. Note non-standard shell size of the RSAN main gun.)
Design 43/38 IV, South African Battleship laid down 1943
Displacement:
34.225 t light; 35.870 t standard; 38.877 t normal; 41.283 t full load
Dimensions: Length overall / water x beam x draught
804,45 ft / 787,40 ft x 104,99 ft x 28,38 ft (normal load)
245,20 m / 240,00 m x 32,00 m x 8,65 m
Armament:
9 - 14,96" / 380 mm guns (3x3 guns), 1.818,81lbs / 825,00kg shells, 1943 Model
Breech loading guns in turrets (on barbettes)
on centreline ends, majority forward, 1 raised mount - superfiring
16 - 4,53" / 115 mm guns (8x2 guns), 46,40lbs / 21,05kg shells, 1943 Model
Dual purpose guns in deck mounts with hoists
on side, all amidships, 4 raised mounts - superfiring
16 - 1,57" / 40,0 mm guns (4x4 guns), 1,95lbs / 0,89kg shells, 1943 Model
Anti-aircraft guns in deck mounts
on side, evenly spread, all raised mounts
24 - 0,79" / 20,0 mm guns (4x6 guns), 0,24lbs / 0,11kg shells, 1943 Model
Machine guns in deck mounts
on side, evenly spread, all raised mounts
12 - 0,79" / 20,0 mm guns (6x2 guns), 0,24lbs / 0,11kg shells, 1943 Model
Machine guns in deck mounts
on side, evenly spread
Weight of broadside 17.152 lbs / 7.780 kg
Shells per gun, main battery: 90
Armour:
- Belts: Width (max) Length (avg) Height (avg)
Main: 12,6" / 320 mm 413,39 ft / 126,00 m 12,47 ft / 3,80 m
Ends: Unarmoured
Main Belt covers 81% of normal length
- Torpedo Bulkhead:
0,98" / 25 mm 413,39 ft / 126,00 m 28,38 ft / 8,65 m
- Gun armour: Face (max) Other gunhouse (avg) Barbette/hoist (max)
Main: 15,7" / 400 mm 9,45" / 240 mm 15,0" / 380 mm
2nd: 1,38" / 35 mm 0,98" / 25 mm 1,18" / 30 mm
3rd: 0,59" / 15 mm - -
4th: 0,39" / 10 mm - -
5th: 0,39" / 10 mm - -
- Armour deck: 5,91" / 150 mm, Conning tower: 1,18" / 30 mm
Machinery:
Oil fired boilers, steam turbines,
Geared drive, 4 shafts, 120.644 shp / 90.000 Kw = 29,60 kts
Range 8.000nm at 18,00 kts
Bunker at max displacement = 5.413 tons
Complement:
1.383 - 1.799
Cost:
£21,590 million / $86,358 million
Distribution of weights at normal displacement:
Armament: 1.981 tons, 5,1%
Armour: 13.149 tons, 33,8%
- Belts: 2.917 tons, 7,5%
- Torpedo bulkhead: 427 tons, 1,1%
- Armament: 3.023 tons, 7,8%
- Armour Deck: 6.754 tons, 17,4%
- Conning Tower: 29 tons, 0,1%
Machinery: 3.116 tons, 8,0%
Hull, fittings & equipment: 15.828 tons, 40,7%
Fuel, ammunition & stores: 4.652 tons, 12,0%
Miscellaneous weights: 150 tons, 0,4%
Overall survivability and seakeeping ability:
Survivability (Non-critical penetrating hits needed to sink ship):
55.943 lbs / 25.375 Kg = 33,4 x 15,0 " / 380 mm shells or 8,4 torpedoes
Stability (Unstable if below 1.00): 1,03
Metacentric height 5,7 ft / 1,7 m
Roll period: 18,5 seconds
Steadiness - As gun platform (Average = 50 %): 70 %
- Recoil effect (Restricted arc if above 1.00): 0,64
Seaboat quality (Average = 1.00): 1,00
Hull form characteristics:
Hull has a flush deck
and transom stern
Block coefficient: 0,580
Length to Beam Ratio: 7,50 : 1
'Natural speed' for length: 32,48 kts
Power going to wave formation at top speed: 51 %
Trim (Max stability = 0, Max steadiness = 100): 70
Bow angle (Positive = bow angles forward): 30,00 degrees
Stern overhang: 0,00 ft / 0,00 m
Freeboard (% = measuring location as a percentage of overall length):
- Stem: 29,53 ft / 9,00 m
- Forecastle (29%): 18,86 ft / 5,75 m
- Mid (50%): 18,86 ft / 5,75 m
- Quarterdeck (15%): 18,86 ft / 5,75 m
- Stern: 18,86 ft / 5,75 m
- Average freeboard: 20,10 ft / 6,13 m
Ship tends to be wet forward
Ship space, strength and comments:
Space - Hull below water (magazines/engines, low = better): 80,5%
- Above water (accommodation/working, high = better): 160,6%
Waterplane Area: 61.818 Square feet or 5.743 Square metres
Displacement factor (Displacement / loading): 110%
Structure weight / hull surface area: 198 lbs/sq ft or 965 Kg/sq metre
Hull strength (Relative):
- Cross-sectional: 0,99
- Longitudinal: 1,05
- Overall: 1,00
Hull space for machinery, storage, compartmentation is excellent
Room for accommodation and workspaces is excellent
Ship has slow, easy roll, a good, steady gun platform