I would start with better home design and energy efficiency enhancing improvements before throwing a Carnot-limited solution at the problem.
Last summer I ran an experiment. We live in a two story house in California. We usually see low temperatures at night (sub 70deg F) and highs in the range of 105+ degF during the day. At night I opened all of the windows downstairs and used a small industrial fan (about 2000CFM) to pump cold outside air into the house. In the morning I'd shut down the fan and close all windows.
I could get the lower part of the house down to below 70F on most days during the summer. Cold enough to have to wear a sweater. Even with the outside temperature hitting highs above 105+ the thermal mass of the house succeeded in maintaining a very comfortable inside temperature (max around 77F). We did not use the air conditioner at all last summer, saving tons of money. The fan costs pennies a day to run.
This summer I am looking at what efficiency improvements I can make to this arrangement. I'm itching to throw a micro-controller at it, but I want to learn a little more before I take that path. There's a lot to do in the roof. Think about it, you have this huge solar heat collector --the roof-- reaching ridiculous temperatures during the day and radiating that right into the house. Sure, there's attic insulation, but that's a ton of energy to deal with.
I'm thinking that some forced ventilation of the attic with a small fan might just do wonders.