A lot of computer fans are rated for surprisingly high temperatures, because it can get that hot on the exhaust side of a heatsink. But maybe you could add the fans on the inlet side?
I suggest adding a SSR to control the heat strips so it's literally only used as much as it needs to be. In heating mode, you'll want the fans going at high speed because that gives better efficiency. In defrost, slow the indoor fans down so they run just enough to stop the indoor coil from freezing and apply just enough power to the heat strips to counter the little little cold air that comes out. (Or not use them at all if the room temperature is within a few degrees of the setting.)
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To my surprise, shortly after Naomi Wu gave me a bit of fame for making good use of solar power, Allie Moore got really jealous of her...
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