I only use what RPM's I need to get the work done, no point in wasting gas and engine hours.
The only "minimum" really is if you have an HST transmission and that is 2,000 but really that should be the minimum for any work. I use 2,000-2,200 for backhoe work, 2,200-2,800 for snow blowing and loader work, and around 2,800 for any ground engaging work with the box blade.
If you can bush hog without lugging the motor at less than 2,600 then do it, as long as your not stalling or overloading it. I've never mowed with mine so can't comment on ideal RPM's.