Then you're going to have to repeat the process when you return to college. I too am at college and considered moving fish back and forth, but instead opted for additional planted tanks at college (planting to control ammonia/nitrates, a light timer switch and an automatic feeder for only $11.00) and keeping my main tank at home.
I have transported fish in the distant past, though. If I were doing it now, I would simply use a large, clean well-insulated box with lid, like a large Colemans picnic cooler. I knew fishkeeper years ago who used large Thermos flasks to move fish!
Retain as much of the tank water as you can manage - in the case of a 5 gal it would be pretty much all of it - pouring that into the clean cooler. If the cooler has previously been cleaned with detergent, use a trashcan liner inside it to provide a clean environment, adding the fish bynetting them. The large volume of water will lose heat much more slowly than a small amount will. The volume of air in the cooler and the large surface area should be adequate to support the fish for several hours. Place the container securely inside the car away from the heater - maybe on the back seat, using safety belts to stop it tipping in the event of a quick stop - and just try to get car interior air temperature to around 75 degrees, which feels 'neutral-to-cool' but not cold to most people. Heat loss should be minimal with this setup.
At your destination, because the gravel in the tank will have cooled a lot, I would simply pour in enough lukewarm water to cover the gravel to take the chill off, or even use it as a chance to wash the gravel, ending with warm water, drain it and quickly pour it back into the tank. Replace any decorations and tidy the landscaping as necessary. Finally, add the original water and the fish, either by pouring or by netting.
This way, there's no rapid water change to a different chemistry or temperature, you'll have time to age some local water and add it a little at a time as you make your usual water changes, and there is only a single transfer for the fish to deal with (i.e. into the cooler and out of it again).
