Hi Shannon,
Yes there's plenty of cork in there that's for sure.
Normally one would use a slide hammer with an expandable shank that fits in through the hole and then you wind it out to expand, once that is done you just use the slide part to knock out the bearing without any damage. Can't see any other way of doing the job without screwing up the bearing which is quite an expensive little fella.
In your case I would use some fairly heavy oil (the heavier the better) and let it soak in through the opening that you can see between the inner and outer race. Just don't flood it as that creates it's own set of issues. Then after a while rotate it and see if the bearing has taken enough oil to reach the bearings inside and provide the lubrication it should have. You'll certainly feel the difference.
Have you managed to source any key steel yet ?
Cheers,
BB