Dry ice is safe in a cooler in a car as long as the cooler is vented by leaving a gap in the lid and as long as the car is vented such as an open windows.
Never leave any dry ice in a parked passenger vehicle with the windows closed as it can result in accumulation of dangerous concentrations of carbon dioxide which can asphyxiate you.
Also never store dry ice in glass or other sealed airtight containers or coolers without venting the cooler or container.
You can put dry ice in a Styrofoam cooler although the lid should be gapped.
If you are transporting the dry ice in a Styrofoam cooler in a vehicle you should allow it to have proper ventilation because CO2 gas can be toxic.
Dry ice will last for around 24 hours in a regular 25 quart cooler.
You can ship food with dry ice as long as it's in a cooler such as a sealed Styrofoam cooler.
Omaha Steaks are food that comes shipped with dry ice to keep the Omaha Steaks frozen.
Omaha Steaks last around 36 hours in dry ice.
By the time the Omaha steaks get to your door the dry ice is usually either partially melted or no longer in the cooler with the Omaha Steaks.
The Omaha Steaks should be frozen as soon as you get them so they won't spoil.
Omaha Steaks are shipped in dry ice and frozen to ensure they remain safe during shipment.
Omaha Steaks says they expect there to be little or no ice left in each cooler when they arrive but the Omaha Steaks are still frozen.
I've found this to be true with the Omaha Steaks I buy.
The steaks are still frozen but the dry ice is nearly gone or gone fully.
I immediately either set some of the steaks aside to cook or if not cooking the steaks right away I place them in the freezer.