I know from reading old Jane's Armour and Artillery (late 1980s) that several Scandinavian nations were developing coastal defense missile batteries based upon mobile Hellfire launchers. The never completed hyper-velocity missile system was also to have an anti-ship variant. Depending upon which version of the TL you are using these missiles might be available.
Finally, anti-aircraft missiles tend to be proximity explosives so they really wouldn't do much except spray a naval vessel with sub-fragments. This would be heck on fragile radars/electronics and exposed personnel but it would not sink the ship. There were naval versions of HARM missiles designed specifically to destroy ship mounted radar and electronics. AE-6 Prowlers often carried these to use during alpha strikes against Soviet naval task forces.
Benjamin
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