Puller
I used my Snap On mini side hammer to pull out my friend's 5.0 Mustang pilot bearing race, worked great.
If you had the right puller it would work. An aircraft maintenance shop I used to work at had a snap-on puller that was small enough to do the job, but kinda rare and definitely pricey. Maybe O'Reilly's or one of the other stores that let you 'rent' tools would have something?
I used my Snap On mini side hammer to pull out my friend's 5.0 Mustang pilot bearing race, worked great.