I found this article this am. I think it is interesting for us cool season folks.
tl;dr
They noticed no effect in control as a function of when the lawn was mowed (3 day prior, 1hr prior, 1hr after or 3 days after). Therefore, just apply it.
http://turf.unl.edu/turfinfo/9-7_effects_of_mowing_timing_on_broadleaf_herbicide_efficacy.pdf