If the image needs to be one spot color, in grey scale – save a a 8 bit tiff. Place in Quark – then set the box color to none and the item color to the desired spot color. You might be able to place two tiffs exactly on top of each other and do this – selecting overprint in the trapping menu for the top TIFF and get the two to blend properly. (Haven’t tried this thought)
Using a background of none in a picture box (for anything other than an eps with a clipping path) is a recipe for jaggie edges. Sometimes it works, but check your proofs carefully!
If you need to retain the colors in the original image you’ll need a clipping path if it’s going into Quark. I think InDesign will support transparent tiffs, if you want to switch to yet another Adobe app.
If you have a spot color channel, you need to save as either a DCS2 or as a Photoshop PDF. However, I have no idea whether or not Photoshop PDFs work in even the latest version of QXP.
I suspect that they probably don’t?!