As long as you keep it cold, replacing the ice as you head home should be good for 2-3 days.....I know I have done that in the past.
Two years ago Eelgrass deboned his Antelope and put it in ICE Chest and with Ice and later Dry Ice I believe and he had three days to go to drive home because he drives slow like his turtles.
Sorry Eel, just had to add that jab at yea....LOL
Brian