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Put the case in the oven @225ºf for about 15 minutes with the blind race in a droppable position (facing down). You'll hear the 'tink' when the race falls out. If you're quick, you can drop the new race in while it's still hot.
Direct heat from a torch is going to heat the local area much hotter than the oven did. Usually a quick shot of torch is all it takes to break a loc-tite-type bond, and of course you don't want to apply direct heat in greater temp or time than it takes to do the job. Is the race staked or peened into its bore? Is there any evidence of a bonding agent/jb weld/etc having been used?
If you can get to it run a small bead of weld around the inside of the bearing. When the weld cools it will contract the bearing and it should fall out. When I have had the fore thought a few times I remember to put something below the weld so I would have something to pull on if it needed a budge.
:+1When all else fails...... this will work