Following design is V-1, the Regulus variant of P-1:
[URL unfurl="true"]https://www.deviantart.com/tzoli/art/Long-Beach-Preliminary-Scheme-V-1-863410037[/URL]

The design had these characteristics:
Dimensions: 202,4 (pp) 210m (oa) x 21,18 x 6,83m
Displacement: 12.760ton (Standard), 13.970tons (Full load)
Engines: 80.000shp Westinghouse C1W Nuclear Reactors, 2 shafts
Speed: 59km/h (32knots)
Armaments:
2x2 RIM-8 Talos SAM,
2x2 RIM-24 Tartar SAM,
1x1 RGM-6 Regulus I CruM
1x2 RAT Launcher,
2x3 324mm Torpedo Tubes
Sensors:
4x SPS-32 - Air-Search Radar
4x SPS-33 - Height Finder Radar
1x SPS-53 - Surface-Search/Navigational Radar
4x SPG-49 - Talos Illumination/tracking radars
4x SPG-51 - Tartar Illumination/tracking radars
4x SPW-2 - Talos guidance radars
2x Illuminator Radars (I've chosen SPG-51 like ones)
1x TACAN - TACtical Air Navigation System
1x Radio Star Tracker Dome containing a Transit satellite navigation receiver antenna (Early version of the Global Positioning System)