I have a question for breastfeeding/pumping mamas.... Thursday I am going to be leaving on a trip to…

I have a question for breastfeeding/pumping mamas.... Thursday I am going to be leaving on a trip to Texas (about 14 1/2 hours driving, not driving all the way thru at once) my question is, if I have to pump, which I sometimes do in the mornings cuz my daughter doesn't eat as much for some reason and sleep for 8+ hours, how long would the milk be OK for in a cooler with an ice pack? obviously I will put it in a refrigerator while in a hotel lol but being in the car and such I just didn't want to pump it and end up having to dump it