Heck, I hauled a couple of kegs to Cincinatti in 2008 for the NHC (about 1000 miles to the conference).
Not only did they do very well in the travel, Ray Daniels came over to tell me he loved the IPA. So I'd say that's a pretty good recommendation on hauling kegs 1000 miles in June!
What I'd suggest though is just "jumping" the kegs to a new sanitized keg before moving it. The reason is I"d had to disturb all the sediment that would have settled out. It's easy to do. Once the keg is conditioned and pouring clear, keep it in the kegerator (don't move it!) and put on a "jumper cable". What I made is two black QDs and a length of beerline between them. Purge the keg, and reset at about 2 psi, or just enough to push the beer. Give the receiving keg a shot of co2 to purge out the o2 and pull the pressure relief valve. Then hook up the two black QDs to each of the keg "out" posts. Pull the pressure relief valve on the receiving keg frequently during the transfer to keep the beer flowing. That's it!
You'd be transferring under c02 so there would be no risk of oxidation. You'd leave all the sediment behind so it doesn't matter much if the kegs get moved around during the travel and set up, but it's always nice to have a bit of time to let them settle.