Dry ice is frozen co2, you can't touch it with your bare hands hence ,instant frost bite. You can get it at ice cream outlets or lookin the yellow pages under ice. You cannot let the meat come in contact with it, also when it (melts) it turns back into a gas so it doesn't soak your meat. Though you cannot lock or close your cooler to prevent these gases from exscaping or kablewy.

Things will pop like an over inflated baloon.
If it were me. I would Pack my cooler with frozen gallon jugs of ice. a day or 2 before. then when I leave, change to fresh jugs. Then after getting the deer, skin and quarter , stick in the cooler and head home. When you get home make sure you have a fridge or something ready to put the meat in . Or just exchange frozen jugs for the ones at home.
Also on a side note which no one thought of. They sell cooler bags especially made for tuna fishing so as to keep the fish cool. Tuna will spoil alot quicker than a deer and is also a heck of alot bigger. I'm talking giant tuna here. I'll try to find them as they are not cheap but well worth any price paid.
http://www.alltackle.com/canyon_fish_bags.htm
http://www.fishermansoutfitter.com/p...-tuna-bag.aspx