Any insecticide will work, as long as you don't care about what's in those eggs. Frontline is not approved for any livestock species, not only chickens!
I'd be horrified to have commercial producers playing fast and loose with the guidelines for safe food production, and am not interested in...
Because carbaryl is not approved for use on chickens in the USA, there, no official egg withdrawal time, except 'forever'!
Use permethrin instead. The spray concentrate is very inexpensive and does a good job.
Spinosad is the extremely expensive approved alternative; use permethrin!
Mary