What did they do, just drag through the mud?
Yes, they just dragged up some mud and weed.
But I simply couldn't toss them far enough to get a good shallow angle.
Presumably, your max draft does not extend the full beam. My boat draws 4' 3", but that is only the width of the full keel. Still, a 10 ft channel is a pretty slim needle to thread.
True--once I figured out where the channel was, I was able to make it, slowly, through the channel.
Still, I think I'll make sure that I have plenty of refreshments, warm clothes and perhaps a good book next time I get grounded. Then I can drop the hook and wait. Of course this will mean I'll have to endure the taunts of all my catboat-sailing neighbors as they glide past me over the bar.
I think your experience demonstrates why Danforth / Fortress style anchors are so popular for kedging -- their holding to weight ratio is very high and the potential of rotating out in current reversals isn't relevant.
That's what my 89-year-old father, who commanded an LCI during WWII, keeps reminding me. Of course, he used his anchors to run aground (and kedge back off again).
--Joe