When you treat chickens for mites or lice you not only dust the chickens but you dust the nests and coop. I once asked a chicken expert (he teaches poultry science at one of the top poultry science universities in the country) how long the withdrawal period for the eggs should be after you dust the nest with Sevin before you can eat the eggs. He said there is no withdrawal period. You can eat the eggs immediately.
I think that would apply to what you are talking about, but I’d feel uncomfortable doing that. I’d certainly keep the chickens away while I’m spraying. I’d absolutely not want them out there until well after it dried.
I found a little information on Sevin online, actually Carbaryl, the active ingredient in Sevin:
Does carbonyl affect wildlife?
$ Carbaryl is practically nontoxic to birds such as ducks, quail, geese, and pheasants
Carbaryl has an average half-life of 3.2 days on plant leaves
I don’t think you are going to find anything official that says there are any problems. You can always contact your county extension agent and ask. They should be able to get that info for you. From what I know I’d probably just keep then out the next day and then let them go, but that’s just my personal opinion. I have no medical expertise to make my opinion mean anything more than anyone else’s.