Still and
always a fan of DD.
I'm in 9 for the most part these days, only using X when at my folks or if I fire up the PB (rarely). I can't live without DD and paid for the X version even though I don't much get a chance to use it.
Haven't had a similar problem so I'm kind of at a loss as to what to suggest that hasn't already been mentioned.
I keep all but one of my drawers on the right side so they are less likely to be accidentally opened when using other apps. I only have a process drawer on the left down by the control strip.
I don't know how many drawers you have or how large they are when open but I have 19 on the right side. Each does overlap the others of course if open, but the tabs have only a few letters on them to keep them as small as possible and just fit nicely up the side.
The only thing vaguely in that problem category is my CopyPaste on the PB. The pop open window widget will never stay in the location to where I move it. Upon restart it always goes back to the left side of the screen and I have to move it over to the right side every time. I just got used to it and move it when I have to. Annoying, yes, but I live with it. Doesn't give me that problem on the 9600, though if I move it too far to the right it disappears over to the second monitor which is usually off.