i would suggest regular ice. dry ice puts off co2 as an off gas. thats what dry ice is actually is frozen co2. so that being in a confined space such as your car "COULD" lead to issues such as passing out while driving and death. a trunk could be safer but i wont take the chance. also for future info you can usually by dry ice at a welding supply store.
you can get a grocery store cooler bag to go into get the feeders and keep the cooler in the car.
adam jeffery