Martin,
If it's chattering, the blade is dull, or you are taking too much of a cut, or both. It really sounds to me like the blade is not razor sharp. What method/system and/or stone are you using to sharpen the blade? And what is the final grit?
I took a look at Dave's Shaves' website and he has some good information to help you. Check out his page at: http://www.ncworkshops.com/sharpening_tips.html
Also, it sounds like you have an older design with the screws under the blade. This is still a pretty quick adjustment, and once it is set, you never have to touch it again (in theory). It took me about as much time to setup my homemade shave with the adjustable screws under the blade as it does to setup a handplane that uses wedges. This makes me think that your blade is still not sharp enough.
The ability to sharpening tools is one of the first watershed skills we have to learn. I used to sharpen to a 4000 grit Japanese waterstone and I thought I had mastered sharpening. Then, I got a 6000 grit stone, and realized that 4000 grit would work, but the 6000 grit was the ultimate in sharpness. Then, I got an 8000 grit stone and realized that the 6000 grit was pretty good, but the 8000 was still sharper. I am no longer foolish enough to think 8000 grit is the ultimate in sharpness, nor do I know if it is worth it to go to the next finer grit. The 8000 is really good!
Cheers,
David