RE: Eject problems w/ Win Mod 70 Coyote
A push feed bolt is suppose to push the spent case against the inside of the right side of the receiver until the case clears the receiver and is able to be pushed out the side. Your most likely solution is to clean the plunger hole and the extractor recess int he bolt lug thouroughly. DO NOT OIL IT when you put it back together as that will just collect more gunk. Another cure, although not likely, could be the plunger spring is broken.
It sounds like the ejector plunger is not pushing hard enough against the case.