I don't think you can do it. I run close to the same setup and I was bumping the temp up by 4* in about 3 hrs of having the lights on.
I also run more flow through my tank. I had to pick up a chiller now it is rock solid best money I spent it's nice not to worry about heat fluctuation. I also added a ATO as I had to put in at least a gallon a day.
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150 Gal system 3'x3' 400W M/H, Bekett skimmer, Dart return,1/4 HP Chiller
180 Gal Drop tank, LED lights, Bubble master 250 skimmer,Hammerhead on a closed loop, Speed wave return.
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