I only spray canvas no paper but you would have to have an awful lot of dust blowing around to have it settle on vertically hanging prints. I get zero dust when hanging canvas prints to dry using Timeless.
Living in a central Melbourne penthouse, I don't have much choice but to spray indoors, where dust from living areas and carpets can settle anywhere. The garage isn't an option, since it's shared. A friend's wedding photography studio/office - also in the inner-city area - is also equally dusty.
As an after thought if I was spraying paper I would use a solvent finish.
I have used Clearstar FA a little and 2 light coats dry as fast as you spray it on.
Spray solvents on vertically hung prints and you will get no dust on your paper,period.
I'd normally use Print Shield or Hahnemuhle Protective Spray.
But this got me thinking - is there any reason *not* to use something like Eco Print Shield on paper? After all, it gives a more flexible coating that can bend without cracking, apparently bonds with the inkjet layer to stabilise it and reduce its brittleness so that it can be folded without cracking (e.g. when stretching canvases) and can also be used to give the paper any surface characteristics you want - matte, semi-gloss or high-gloss. Does it not provide an equally effective barrier against pollutants and UV light, or does it turn yellow over time?
Addressing your hanging issue. Are you not mounting the prints and trimming the white border off?
Good point - I never thought of spraying it first before trimming!