Grain ration?!?

I have eight lovely, healthy kids out there in the pasture (Angora goat kids) and all of the mamas are doing everything they should and taking good care of the babies.  Honey Dear's baby girl Cherish is hardly a baby anymore--she is 7 weeks old today, and she really thinks she is all grown up.  Honey Dear is my oldest, most experienced doe, and she is teaching Cherish all about shouldering in and getting her fair share of the grain.  Angora goats are so terribly competitive, I can put their hay or grain into seven different piles, and five does with their babies will still run around butting each other to make sure they get the most.  I just laugh at the goat care advice that so reasonably and easily recommends 1 cup of grain per animal per day.  They never go into how they manage to administer that amount each and every day.  Well, I have to let the smaller ones out and give them a couple of dishes with grain, then put a dish on one side of the barn for the ones inside and they all shoulder each other out of the way, then I put another dish on the other side of the barn and they all rush opver there, etc, . ad infinitum. Anyway, my sweeties don't get grain every day because there are not enough hours in the day for me to keep up this dance to make sure each one got at least some.
I have never seen a feeder design that couldn't be hogged up by one or two big ones.  If anybody has seen something that works for goats, be sure to let me know!