I have raised several of the big meat breeds (Satins, New Zealands. Californians) and I have quit scruffing if there is any other option (admittedly , there is occasionally a moment when it is the only choice for the ultimate safety of both human and rabbit). I quit the practice when I talked with an ARBA judge who raised meat breeds, who told me that over time the rabbit's skin separates from the muscle beneath it. Ugh. I have found this to be the case from observations at butchering. So the skin doesn't tear where you can see it, but it sounds pretty painful!
To handle an uncooperative big rabbit, I usually get hold of both ears and scruff with one hand (to immobilize them), and lift the bulk of their weight with my other hand under their hindquarters, then roll them over. Most people then slip the whiole rabbit under their arm, with all four feet sticking out the back. I'm not really partial to that however, as a fiesty rabbit can still kick you or take a bite out of you in a sensitive place. (!) Maybe surprisingly, my best luck carrying them usually comes by rolling them over on their back with their head in the crook of my elbow and their hind end resting in my palm, so they feel very secure. (Yes, you can do this with a 12-pound rabbit.) If you can get their head down in line with or lower than their spine, tonic immobility takes over (the same response that causes them to look "hypnotized" when flipped on their back) and they are *usually* pretty docile till you flip them back over. And even if they do try to bite, they mostly end up chewing on their dewlap instead of you. When it's time to put them down, I just roll them forward into the sitting position. (The ride upside down often calms them down, too.)
I don't have too much trouble except once in a while with young does at the start of spring, when sometimes they get a little uppity due to mega hormones. Many of the meat breeds have a lousy reputation when it comes to temperament, and it's understandable since they have been heavily selected for meat and mothering qualities, not friendliness. But not only do I handle my rabbits a lot, which trains them to be docile, but in my breeding program, not only do I select for meat and show qualities, but I am very careful to use only friendly, manageable rabbits for breeding stock. Temperament very definitely responds to selective breeding. It took me more than a few years to get my Satins to the point where not only do they win Best in Shows and reach butcher weight by 9-10 weeks, but they also make good pets. Even some of my breeding does will almost fall out of the cage to get petted. Because really, who wants an angry 12-pound rabbit coming at them?