I honestly think you'll be fine. To save on electric, maybe you can have the new AC on a timer and only have it kick in during peak lighting/heat hours. If it doesn't reach a higher than desired temperature during that time, it most likely won't after lights out. If it makes you feel any better, I have a chiller hooked up to come on when the tank hits 83 degrees. I've never had adverse reactions from running that high. It's just a safety net, but I've never heard it kick on.
I asked a few questions on another thread a few years back regarding why some people have problems at high temperatures and some don't. The consensus was that if corals and fish were slowly acclimated to these changes you'd be fine. People that have experienced problems seem to have been those that kept a tight temperature range of a couple degrees and then their chiller blew and the tank temps reached many degrees higher than they ever did. Some people just let it swing. His name escapes me, but there's a member on this board with an incredible SPS tank that actually has "temperature swinging" in his signature. He regularly let his tank jump from 77 to 85 during the day with no ill affects. It may be that we worry about it more than our livestock does.