Pilot Bushing Removal

So I got a rebuild kit for my transmission and after taking it all out and apart I decided to check the pilot bushing too since the car has been making a nasty grinding noise when the clutch pedal is down and the car isn't moving. With everything removed (i.e. clutch, pressure plate, etc.) how much play should the input shaft have in the pilot bushing? I have the input shaft out of the transmission for a rebuild and when I put it in the pilot bushing alone it seems to have an awful lot of wiggle. I went to try to take it out so I could measure it real good and fit it over the input shaft end, but I cannot for the life of me get the dang thing out of the flywheel. My dad and I were under the car for a good hour trying the grease and hammer trick (fill the pilot hole with grease and drive a socket into it to use the pressure to drive the bushing out), but after beating on it and dumping as much grease as we could into it, it still doesn't even budge. Does anyone else have any other ideas for how to get one out? Or maybe a very specific sized socket or bolt or something that we should be trying to hammer with? We're both stumped, and I really think the bushing is bad, so I'd like to get it out while the transmission is completely out of the way.