Hi. I found this regarding transport of firearms in Iowa:
483A.36 MANNER OF CONVEYANCE.
No person, except as permitted by law, shall have or carry a gun
in or on a vehicle on a public highway, unless the gun is taken down
or totally contained in a securely fastened case, and its barrels and
magazines are unloaded.
Q&A on Iowa’s new weapons carry permit law
Q: What types of guns and uses are we talking about?
A: Under Iowa law you can transport a rifle, shotgun or handgun without a carry permit as long as it is unloaded and secured in a closed, fastened container. You can also carry a loaded weapon while actively engaged in legal hunting or while target shooting on a range designed for that activity.
At other times, to carry any loaded handgun, rifle or shotgun or any deadly weapon concealed on your body you need a permit to carry, issued by a county sheriff.
Q: Does my Iowa permit to carry allow me to have a loaded firearm anywhere in my vehicle?
A: Yes. You may carry a loaded handgun, rifle or shotgun in a motor vehicle; however this does not apply to snowmobiles or all-terrain vehicles (see Iowa Department of Natural Resources: Iowa Hunting Laws and Weapons Permit Applicability)
Iowa's permit to carry doesn't designate handguns, and is referenced to as a Permit to Carry Weapons.
Sounds like with a permit, you can transport uncased and loaded. IANAL [I am not a lawyer]. Wish I could be more definitive.