HP drivers have always had problems handling large amounts of data. The Z3100, Z3200, B9180, and B8850 are the biggest culprits as their drivers are prone to data bottlenecks. This article and the articles linked within will give you all available tips so you can finesse the HP drivers into working their best:
http://ddisoftware.com/tech/articles/april-2010-understanding-your-photo-printer/Please read the articles, but the first things to try with HP printers are:
(1) In "Edit", "Preferences", "Printing Options" in Qimage, try both "raw" and "EMF" spooling options at the bottom to see if your HP driver is happier with one or the other.
(2) HP drivers tend not to be backward compatible. Try "Help", "Reset Printer Settings" in Qimage and then set your driver settings manually the next time into Qimage: do not recall previously saved settings or jobs as they may be incompatible.
(3) In the HP driver, make sure no "effects" are selected such as those found on the "HP Digital Photography" tab in some drivers. HP printers simply cannot handle the amount of data associated with anything more than very small prints in conjunction with certain types of auto-contrast type features in the driver.
Unfortunately, after that, you're into Windows spooler and network queue issues: both of which (and more) are covered in the troubleshooting articles linked inside the URL above.
Mike