@plummet: I'm with you on this - in conditions as you describe (ridiculously overpowered). Did the same in Tarifa one day - no other option. But in regular conditions, I stay with what I mentioned before: fly to edge, steer down hard, pull upper front line, and when landed quickly walk flag line to kite
Anchors don't work for me because I typically do downwinders alone, and the wind will often be blowing a lot harder at the end of the run. One instance of a failed self-landing in high winds was enough to convince me simply to dump the kite to a single front line flag out. Only thing then is to make sure you pull the line to get the kite to flip over onto its front before walking up the line, taking care not to walk over the other lines in case a big gust does catch it and you need to let it go to leash again. I must have done this ten times at Holbaai north of Cape Town this season. Never had a problem, always a soft landing for the kite, and no damage, but it is a nice wide open beach with no one around usually when it is blowing 30-40 knots.