Sir,
If you time it right, the dry ice will peter away before you go to the airport, leaving very cold meat before transport.
Definitely keep weight overages in mind, depending on the airline. Sometimes it's cheaper to pay the over fees(usually 2 tiers, over 50lbs, over 70lbs), verses 2 separate coolers. Bring a good travel scale, and be flexible how you pack. I also have carried on board over 35/40lbs of sausage/meat in a Trader Joe's insulated grocery tote. They make lots of insulated soft coolers now. Definitely check them out. There's always a way. I sort of (jokingly) hail myself "The King of Carry-on".. lol
Be creative. Frozen meat will stay safe for a very long time if you have discipline to keep the container sealed.
Those cheap Coleman coolers weight the least, but a lighter weight wheeled cooler can be a lifesaver. In Alaska, I had to put my cooler on top of my buddies rolling model as we had a very long walk from the boat to the bush plane. Definitely freeze solid. And keep dry ice in mind if feasible /practical for the trip. It can help quick chill meat pretty awesomely.
Sorry if this is a little long winded, its just something I take very seriously. I like the challenge as well.
Semper Fi,
Tom