The 30-second attempt to fix it is to make the EOS switch gap larger than it is now, so it opens earlier. If you go too far with this you'll get chatter, however -- it's a no-part-required attempt though. This reason this works is that when the switch opens the coil is running on hold power (which is a fraction of the "flip" power); if you go too far the flux between the plunger and coil stop will be too weak when the switch opens and thus you will get chatter.
If that doesn't do it then as noted a weaker coil is the correct solution. See what's in there now and we can make some suggestions; you want a smaller gauge (larger number) and more turns than what you have now.