At some combination of velocity, discharge humidity, outdoor temperatures, as well as local wind and wall effects, you will run into plume reversal....
This can be a minor detail and self managing if the moisture laden air simply turns around and goes back through the tower. But it can lead to some real damages if the CT is winter time operational or if you have confines that can lead to mold growth or similar.
If the cooling tower is in the middle of a field and well above ground, you could experiment to establish the limit; or you can undertake the psychrometrics based on your "season" of operation and limit or potentially instrument accordingly.
Those who operate VFD's 24/7/365 have found that pumped volume becomes an accompanying topic at O/D temperatures below 45-deg. F.