If you are at 83-85 with lamp running all day...I'd be happy
I'm down here in FL in a closet like yours and run between 86-90 and don't sweat it. Lights off it hovers between 78-82.
I'm only running 2x400 and would love to get a 1000 in there, but wouldn't be able to keep the heat down here.
I've found the Mandala Hashberry and Satori handle the heat well, as do the Nirvana Northern Lights and Bubblelicious.
Best of luck - OGH