I tried the 16-20 knot for a while. It was very strong when I got it right, but difficult to tie and very difficult to tie repeatedly. I would either get a very very strong knot or a disaster. I then tried the Double Davy Knot for a bit. It was much easier to tie and once again tested very favorably in head to head strength competitions with the clinch, but I had similar issues with repeat-ability. Neither knot managed to overcome my clinch comfort zone.
In all my research the Non-Slip Mono Loop kept popping up as an intriguing alternative. Not only is it one of, and possibly even THE strongest fly connection knots, it has several other advantages because it is a loop knot. I first learned of this knot from Captain Brian Horsely on the Outer Banks in North Carolina on one of the few guided trips I have ever taken and from Lefty Kreh's knot book. It is yet another example of a knot that grew in popularity with saltwater guys that should be embraced in freshwater whenever you need light line for big fish. In other words carp!
This time I have managed to get on the wagon and stay there. The loop knot has been my go-to knot for carp for the past 6 months and I am extremely pleased with it's performance. I am absolutely positive that this knot has saved me a carp or two or more. Here is an instructional video in how to tie the Non-Slip Mono loop knot.