Adobe Reader 10.x does go out of it's way to hide the normal print options from OS X but you can still get to them by clicking on the Printer... button at the bottom of the Adobe Print Dialog and clicking through the warning not to change things behind Adobe's back.
I don't have a form like you mentioned in red, but try setting all the print options in Adobe to make your form appear as desired (with or without stamps, annotations, sticky notes and summaries, etc...) and then get to the Apple print dialog to attempt a print to PDF.
If Adobe isn't preparing the file for print until after you hit print in the Adobe dialog - then your only recourse is faking it out by defining a new virtual printer. That way adobe is forced to send the data to the mac which will then pop it into a plainer PDF file for you with just the data filled out.
I've not resorted to this, but CUPS-PDF and this tip on making it work with Snow Leopard's sandboxing security looks to be promising. I hope you don't have to resort to that hacky of a solution to save paper waste and time.