^^^ beat me to it.
When residential housing uses rigid metal foam under a metal roof, it works like this (from bottom up):
Trusses/Rafters
3/4" Plywood/OSB Decking
Moisture Barrier (usually peel/stick)
Rigid Foam
Purlins
Metal Roofing
For a hen house, that's overkill. Several $ per square foot of roofing.
The next question is WHY INSULATE? 1" of rigid foam has an R-factor of high 4 to low 5. It slows heat transfer, sure, but that's it. R4.7 isn't noticeable. I don't know where you are in FL, but when I lived along the I-4 corridor, that meant part of the year you woke up at 80 degrees, it hit a high around 97, then "cooled off" down to 80 again, repeat, repeat, repeat. In those circumstances, Insulation isn't really helping a well ventilated coop (which is far more important).
I like exposed rafters and exposed purlins well above my bird's heads. So when a water leak inevitably occurs, its visible long before it has a chance to do damage.
Then, if you can, use bare metal - reflects a lot of heat/solar radiation. The relatively thin guage ensures it doesn't hold much heat either, so there isn't a lot of radiant heat transfer to the underside (inside of coop). If you have great airflow and a roof vent, that warm surface will encourage a draw of cooler air from shaded surfaces, up to the roof, and then up towards the roof vent, where it escapes.
Pics from my goat shed.