As I was rethinking this......It's pretty much an all or nothing solution to the problem....It'll be a brilliant fix or an epic fail.
Either a parked boat or a quick gybe and another splash. Either way, little risk of toad's wild ride.
Looking back over the thread thus far, I see a few suggestions to help prevent the wild ride
1) Make sure the wind angle is forward of 90° during righting.
2) Grab dolphin striker immediately on low/windward side. (didn't work for me)
3) Possibly use bungee to lock rudder at angle (rudder angled down on the capsized boat assuming #1 is done)
The focus on getting back on the boat as quickly as possible is legitimate. Frankly, I'm not sure I can reach the trap handles from the water if the boat is moving. Too much freeboard and no ability to "swim" up to it. I've tried the crew trap, and its too high. Maybe skipper trap is easier. I guess its time to practice...
If its too late for the above and the boat is already really moving, I still kinda like the idea of dragging back hand-over-hand to the back of the boat on the righting line and then using the rudder, cross-bar, or tiller extension to steer the boat up (keeping the load on the righting line).