For ELK - We have various methods between the different groups I hunt with. One group I hunt with is on a 5000 acre cattle ranch so ATV's are available. We use the RSA butt first method with a tip trailer:
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ImageShack.usthat way we don't have to lift a full grown elk up to to a tailgate.
When ATV's are not an option we just get more guys to do the butt first method.
For Deer - Toss it up and in.
But the better method is shoot it *(at a legal distance) above the road, in the snow, back up to the cut bank and roll/slide the bad boy in.
edit: I should add that usually the elk and deer are shot at the furthest distance from a drivable/open road which requires skinning, quartering and packing out with old army style pack boards that cut deep into your shoulders.