I've flown back elk meat from NM (Don killed the elk). I've also flown antelope meat, cape, and skull back from WY.
Each airline has regulations for dry ice. Honestly if you have a good cooler and it's frozen then it'll still be frozen, or maybe soft, by the time you return home.
Bad thing is securing your cooler. In the past I always used duct tape to keep it shut, but TSA will cut it open. In NM they re-taped it, but in WY they didn't.
This time around I bought a refrigerator locking kit that glues on the outside. I'll use a TSA lock to secure it.
Other things to consider with coolers are your handles. I'd recommend removing them or making rope handles. I had one cooler where they got broke during transportation.
Baggage fee's are something to consider. United charges 100 for 51-70 pounds and 200 for 71 - 100 pounds over weight. This is in addition to the extra baggage fee.
Last thing is I know people who have flown home with meat in their carry on. My plan this time, assuming I get one, is to fly as much as I can in my 120 qt cooler and the rest in my back pack. I'm going to take an insulated tote with me. My flight from ID Falls to Harrisburg isn't to long so I should be OK.