I like to drive as I plan extra time and are able to go where I want when I want and bring what I want. Last two trips I took my son along and we rented a 4x4 right here at home and drove out and back. I rented a 4X4 4 door full size pickup for 18 days for 636.00 total for my trip last year. Put over 4000 miles on that truck and it worked great.
Big issue I have with Elk hunting is finding a good way to get everything back including rack if your flying.
If'n your flying with meat and rack the best method I've ever used was bone the meat into gallon baggies and have a friendly meat cutter overnight it in his cooler (don't freeze). Put cooled meat in banana boxes prepared ahead of time with 1" bead insulation all 6-sides. Wrap meat in newspaper and duct tape boxes thoroughly. Weight is almost exactly at the magic 70-75 lb range. The rack I duct tape a stiff locally grown tree between each side for protection from splitting the sides in transit. Cover the points with cardboard and do a good job with the duct tape. (Clean the skull really, really good. The airline handlers really appreciate it and the question of CWD is removed as an issue. I once had my boxes sitting in the direct sun on the Pueblo airport runway for two hours waiting for a delayed flight. The boxes were then miss-routed to New Jersey while I finished my flight to Mass. The boxes were delivered to my home while I was at work and left in the direct sun (again!!) a day later. When I opened the boxes the meat was in perfect condition! The system works, my friend.
Driving...my meat is prepared the same but rides home in large coolers covered with ice which I check frequently. Even taking three days my meat arrives in perfect condition. An added benefit of either method is the meat gets a few additional days to "age" while not being frozen!