I was involved in a thread about this topic in the last week or so. Some pretty interesting info came up so maybe do a search for 'temperature' and see what comes up. Basically there are 2 trains of thought. Some use chillers to achieve a consistant temperature, say in the high 70's. Others only use fans to ensure the temperature doesnt go over 85f.
Greenbreen, a marine biologist told us that in nature corals are regularly and continuously exposed to temperature swing that are centred around 82f. He said that if we acclimatise them to a constant temerature, they will be susceptible to bleaching at very small temperature swings, should the chiller fail.
He said, and many including me, have experienced good results with some temperature swings between 78f and 84f daily. The corals have a natural resistance to problems in the temperatures so they cope very well. Going on this I would say your temperatures are fine.