Kh-22 was a product of about two decades of air-launched anti-ship missiles development in USSR. Britain in 1950s (when countering "Sverdlov"-class was actual goal, no matter how detached from reality) simply did not have experience to design and deploy anything comparable. Something more like KS-1 "Kometa" (the first Soviet air-launched ASM) is more likely.
There is, perhaps, a world in which the UK forms the view in the 1940s that it should focus its efforts on Europe and the North Atlantic. This would require significant changes in outlook, however...
In this world, we might well imagine a substantially earlier shift in favour of land-based air power as a counter to Soviet shipping, drawing on WW2 experience. There was some interest in using Tallboys delivered by V-bombers against SVERDLOVs, see
here, but the numbers of weapons needed were prohibitive.
If this were seen as a cost-effective alternative to aircraft carriers, though, one could easily see Blue Boar as a starting point. If it was made to work as planned, the number of bombs required to seriously damage a SVERDLOV goes from 52 to 4. Still requires overflight, but now we can start talking about standoff - and helpfully for the future, Blue Boar gets the RAF used to the idea of datalinks from the outset.
The next step is probably Green Cheese. Still not brilliant, the range is unimpressive, but it can be dropped though cloud cover thanks to radar guidance and does at least give some standoff. And a scaled version for V-Bomber carriage can pack a pretty respectable amount of 'bang'.
Whether a Kh-22-class weapon comes along directly or via a K-10S equivalent I'm not sure. Either could make sense; borrowing the Blue Steel work would get an airframe with the right kind of performance, and in this scenario we can imagine the seeker and datalink work from Blue Boar and Green Cheese being applied to create a useful weapon.
A suitable number of Vulcans or Victors for Coastal Command is a bit of a challenge - but really, three squadrons is probably adequate, and we can use the resources diverted from carrierborne aircraft to provide them. And wouldn't a Vulcan look spiffy in Coastal Command grey?
Meanwhile, the
Fairey Sea Skimmer is definitely in the KS-1 class; I'm not clear on the timelines, but one can certainly imagine it forming part of this evolution. It does seem, at least from this perspective, that the KS-1 - KSR-2 - KSR-5 line of Soviet missiles was semi-independent of the K-10S - Kh-22 line. This, of course, would certainly be carried on Shackletons, Bristol 175MRs, or something of that nature.
My IMHO, the most practical way would be a joint project with Australia to adapt the GAF Jindivik drone for anti-ship functions. Its subsonic, yes, but high subsonic speed would be enough for 1950s air defenses. And Britain have enough know-how to design a radar seeker (to simplify things, a semi-active one would suffice)
Rather later than the discussion here, but the semi-mythical 'Womba' anti-ship derivative of Ikara by way of the Turana target drone is interesting.
The RN component of the Striking Fleet would have operated in the North Sea and East of the GIUK line (Greenland Sea, Norwegian Sea, Barents Sea), its missions included supporting the land battle in North West Europe, attacking Soviet naval bases ('attack at source') and theatre attacks against targets within the Soviet Union, Warsaw Pact and parts of Western Europe they might overrun during a war. Effectively it was a mobile striking force that would be used to support the wider allied war effort in Europe. The NA.39 was to operate from these carriers (Eagle, Victorious, Ark Royal).
I've thought for a while that this was an interesting comparison with the 1980s 'Maritime Strategy' - you can view the latter as a reversion to the way that the US/NATO always wanted to fight the war at sea, with the 1960s/1970s focus on the North Atlantic convoy battle as a deviation forced by inadequate funds, the development of Soviet A2/AD capabilities, and a misunderstanding of Soviet doctrine.
It's very funny how much nato twisted itself into knots about a second battle of the Atlantic when the red navy saw how that didn't work the 2 times Germany tried so focused all its efforts at bastion defense.
The UK, being a maritime power, and the US, being dependent on the seas for power projection, quite reasonably considered that if they lost control of the sea lanes they'd lose the war. You can have all the ships you like in the Barents Sea; if Soviet tanks are in Brittany and American tanks are in Boston, it's entirely irrelevant.
In the 1950s, they thought they could do convoy protection
and a good offence to use maritime power against the USSR. But when it was a choice, the former had to take priority.