Our law says to fill out the tag, and detach right away at the kill. From then on we can keep it in our pocket until we get the first load of meat back to camp/truck. Then we attach it to a quarter, or large chunk of the boneless meat. Preferably the part showing proof of sex.
Then we go back for the rest of the meat. If we encounter a warden on the way back for the meat he's fine with the tag being back with the first load, and will check it. Some guys will keep the tag in their pocket until all the meat is hauled out. Either way is ok.
Some of our muley bucks can get pretty big. It would be a chore to drag them out. Youngsters with a hunting buddy may do it, but I hunt alone, and don't even attempt to drag out a doe.

Plus, I live in an apartment, so I wouldn't know what to do with a whole animal. Better to just bring in the meat to my freezer. I have some neighbors that would freak out if I showed up with a whole animal.