I raise honeybees and chickens. I have seen the occasional bee on the feed but never covering the feed. I'm surprised the chickens aren't eating the bees.
If they truly are honeybees, their primary desire is pollen and nectar so I don't understand them being enamored with the chicken feed.
I would try putting out a couple pans of sugar water with several pebbles so the bees can land, consume and fly away. Once they find your syrup, they'll leave the feed alone.
If you live where it's warm enough to have bees now and you have fruit trees, you undoubtedly have a local beekeepers organization that could help.