lots of luck and a sledgehammer
long story short, the method that the shop manual gives about being able to "slide" the half-shaft out is a myth for just about any car that's been driven out of the factory and has seen any sort of salt/water/winter, etc.
some people have gotten lucky after spraying penetrating oil for a number of days/weeks and then hitting it from behind with a sledgehammer until i comes out....but most of us...either take it to a mechanic to drop the subframe and ease it out a different way, or pull the entire engine/tranny out to part it
the sledgehammer works for some....but then I'd change the carrier bearing for sure as well as inspect the differential for any damage since the pressure will be going on the half-shaft at an angle and may damage things with enough force and vibration
long story short....good luck