It may, but I can tell you from my experience (I moved to CA from NJ) that there is sooooooooooo much other stuff to do when you finally get to stop for the night after driving for 8 or 9 hours. The last thing you will really want to do is drap all the buckets and coolers in and setup lights, etc.
Maybe its just me being lazy, but I know what the drive entails....and we only had some falcons and two dogs, no kids.
Good luck if you do decide to risk it. Personally I would ship them before or after. Just my 2 cents though.