No problem with the other brands mentioned (Quiet One fits the list too - very efficient)...especially for a tank that's overloaded with heat or the budget that's unlimited, they can be almost a magic bullet. (And if the OP can afford to switch pumps it may will be all that's needed to fix the heat issue.) But...
Mags are great pumps...silent, reasonably priced, durable as heck, heat protected, great warranty, sizes for every application, made by a company here in the USA.
While they are higher-powered than some pumps, my experience is that they also tend to be stronger and resist startup issues that smaller motors (= less torque) might succumb to. Further, in a well balanced tank that doesn't have heat issues, having a higher powered pump makes no difference - saves nothing. In fact you can look at it as saving your heater from having to work so hard. I do.
To the OP's situation: More ventilation should do the trick - especially if you can lower the daytime temp another degree or two via AC as you stated. Think about ways to ventilate the sump compartment, as well as the room itself where the tank is. Rising humidity levels in both spaces will limit the amount of cooling your fans can do, and exchanging the air in the space is the best way to get around this.
Could mean you leave the sump door open, prop open the canopy as suggested above, leaving the door to the room open, or running a box fan in the doorway, etc. Also, run heaters on timers so they only come on at night if necessary. It will make a difference.
And at the end of the day, 83-84 really isn't the end of the world for most tanks as long as the temperature drop at night isn't too much. (Overstocked or overfed tanks need not apply.) Adjust heaters accordingly.
-Matt