I have never used Intuos Draw, but I have used two different Bamboo models that seem about the same, and I've never used Adobe Flash CS3.
Given it only happens with Flash CS3, are you sure it's not just from the program? Your computer likely doesn't have the processing power to handle it (I know the pain of that crap x.x) If all you're doing is drawing, I suggest using a less intensive one. I prefer using Paint.NET, Krita, and Inkscape, but I'm sure there are other decent free ones out there. If it's for animation, I'm not too sure.