I think for the role intended you don´t need a large and expensive design as proposed.
Why not scrap your two old pre-dreads, use the material and guns gained and build something like the one below?
I think it can do all you want it to do and still forces an enemy to send a real BB or carrier which will then be missed elsewhere.
Design Study, Mexican Battlecruiser laid down 1938
Displacement:
22.696 t light; 23.677 t standard; 26.235 t normal; 28.281 t full load
Dimensions: Length overall / water x beam x draught
719,41 ft / 702,10 ft x 88,58 ft x 24,61 ft (normal load)
219,28 m / 214,00 m x 27,00 m x 7,50 m
Armament:
8 - 12,01" / 305 mm guns (4x2 guns), 865,70lbs / 392,68kg shells, 1938 Model
Breech loading guns in turrets (on barbettes)
on centreline ends, evenly spread, 2 raised mounts - superfiring
16 - 5,00" / 127 mm guns (8x2 guns), 62,50lbs / 28,35kg shells, 1938 Model
Breech loading guns in deck mounts with hoists
on side, all amidships, 4 raised mounts - superfiring
16 - 1,85" / 47,0 mm guns (8x2 guns), 3,17lbs / 1,44kg shells, 1938 Model
Breech loading guns in deck mounts
on side, evenly spread, all raised mounts
12 - 0,79" / 20,0 mm guns in single mounts, 0,24lbs / 0,11kg shells, 1938 Model
Breech loading guns in deck mounts
on side, evenly spread, all raised mounts
Weight of broadside 7.979 lbs / 3.619 kg
Shells per gun, main battery: 100
Armour:
- Belts: Width (max) Length (avg) Height (avg)
Main: 11,0" / 280 mm 410,11 ft / 125,00 m 11,48 ft / 3,50 m
Ends: Unarmoured
Main Belt covers 90% of normal length
- Torpedo Bulkhead:
1,18" / 30 mm 410,11 ft / 125,00 m 24,61 ft / 7,50 m
- Gun armour: Face (max) Other gunhouse (avg) Barbette/hoist (max)
Main: 11,8" / 300 mm 5,51" / 140 mm 11,0" / 280 mm
2nd: 1,57" / 40 mm 0,98" / 25 mm 1,57" / 40 mm
3rd: 0,47" / 12 mm - -
4th: 0,47" / 12 mm - -
- Armour deck: 3,94" / 100 mm, Conning tower: 1,18" / 30 mm
Machinery:
Oil fired boilers, steam turbines,
Geared drive, 4 shafts, 112.601 shp / 84.000 Kw = 30,62 kts
Range 12.500nm at 15,00 kts
Bunker at max displacement = 4.605 tons
Complement:
1.029 - 1.339
Cost:
£11,632 million / $46,530 million
Distribution of weights at normal displacement:
Armament: 997 tons, 3,8%
Armour: 8.116 tons, 30,9%
- Belts: 2.266 tons, 8,6%
- Torpedo bulkhead: 441 tons, 1,7%
- Armament: 1.934 tons, 7,4%
- Armour Deck: 3.453 tons, 13,2%
- Conning Tower: 22 tons, 0,1%
Machinery: 3.083 tons, 11,8%
Hull, fittings & equipment: 10.424 tons, 39,7%
Fuel, ammunition & stores: 3.539 tons, 13,5%
Miscellaneous weights: 75 tons, 0,3%
Overall survivability and seakeeping ability:
Survivability (Non-critical penetrating hits needed to sink ship):
45.420 lbs / 20.602 Kg = 52,5 x 12,0 " / 305 mm shells or 6,4 torpedoes
Stability (Unstable if below 1.00): 1,16
Metacentric height 5,5 ft / 1,7 m
Roll period: 15,9 seconds
Steadiness - As gun platform (Average = 50 %): 51 %
- Recoil effect (Restricted arc if above 1.00): 0,55
Seaboat quality (Average = 1.00): 1,03
Hull form characteristics:
Hull has rise forward of midbreak
and transom stern
Block coefficient: 0,600
Length to Beam Ratio: 7,93 : 1
'Natural speed' for length: 30,47 kts
Power going to wave formation at top speed: 55 %
Trim (Max stability = 0, Max steadiness = 100): 49
Bow angle (Positive = bow angles forward): 20,00 degrees
Stern overhang: 6,56 ft / 2,00 m
Freeboard (% = measuring location as a percentage of overall length):
- Stem: 29,53 ft / 9,00 m
- Forecastle (30%): 24,28 ft / 7,40 m
- Mid (75%): 24,28 ft / 7,40 m (16,40 ft / 5,00 m aft of break)
- Quarterdeck (15%): 16,40 ft / 5,00 m
- Stern: 16,40 ft / 5,00 m
- Average freeboard: 22,94 ft / 6,99 m
Ship space, strength and comments:
Space - Hull below water (magazines/engines, low = better): 87,4%
- Above water (accommodation/working, high = better): 200,5%
Waterplane Area: 47.408 Square feet or 4.404 Square metres
Displacement factor (Displacement / loading): 117%
Structure weight / hull surface area: 160 lbs/sq ft or 779 Kg/sq metre
Hull strength (Relative):
- Cross-sectional: 0,98
- Longitudinal: 1,24
- Overall: 1,00
Hull space for machinery, storage, compartmentation is adequate
Room for accommodation and workspaces is excellent