Wherever I write on the screen (with my Targus), the edge of my palm and part of my wrist are actually touching or resting on the screen as well (unless I'm writing at the very bottom of the screen, then my hand can rest on the bezel. That's the one of the best thing about Note Taker HD; you can write everything from the bottom of the screen if you like).
Not all styluses work well on a screen that that is/has been touched by living human skin. The Targus works very well for me. I use it in Neu Annotate, Neu Notes, NTHD and Notes Plus.