Having all of Europe to choose from, one of the best cruiser designs was the La Galissonnière class cruisers. Replacing the triple 6" with twin 8" should give an excellent small CA type cruiser.
Details as follows:
Class and type: Almirante Cochrane class, Heavy cruiser.
Displacement: 8,000 tons (standard) 9520 tons (full load)
Length: 179 m (587 ft)
Beam: 18.2 m (59 ft)
Draught: 5.35 m (17.6 ft)
Propulsion: 2-shaft Parsons single reduction geared turbines 4 Indret boilers 84,000 shp (63,000 kW)
Speed: 33 knots
Range: 7,000 nmi (13,000 km; 8,100 mi) at 12 knots (22 km/h; 14 mph)
6,800 nmi (12,600 km; 7,800 mi) at 14 knots (26 km/h; 16 mph)
5,500 nmi (10,200 km; 6,300 mi) at 18 knots (33 km/h; 21 mph)
1,650 nmi (3,060 km; 1,900 mi) at 34 knots (63 km/h; 39 mph)
Complement: 550
Armament: 6 x 203mm/55 Modèle 1931 guns (3 × 2)
8 × 90 mm (3.5 inch) anti-aircraft (4 × 2)
4 × 550mm (21.7 inch) torpedo tubes (2 × 2)
Armour: main belt: 105 mm (4.1 in)
end bulkheads: 30 mm (1.2 in)
sides: 120 mm (4.7 in)
deck: 38 mm (1.5 in)
turrets: 100 mm (3.9 in)
tower: 95 mm (3.7 in)
Aircraft carried: up to 4 GL-832, later 2 Loire 130 flying boats
1 catapult