Ever had to tap a valve guide and pull it out????

If you got it to move enough to get the keeper off you should be able to knock it out the top with the drift if you hit it hard enough in the right place. I have done hundreds and have never had to tap and pull one out.

If somebody has mistakenly made the mistake of adding a seal to the outside of the exhaust valve guide this may be what is making it so hard to come out. Do not add seals to the exhaust guides. Big mistake!!!!! Only the intake valves need this seal. It is only there on the intake to prevent the vaccumm on the intake stroke from pulling in oil. The exhaust stroke will push the oil back on the exhaust valve enough to prevent the vaccumm pulling oil past the exhaust guide. That's the reason they aren't in the overhaul kits or the gasket kits.