Here in Panama, chillers are the norm... And I doubt they are any more economical than the use of heaters elsewhere. (probably just the opposite.
Cheap resistive heaters produce 1 joule of heat for 1 joule of electricity used. Chillers, AC's, fridges, freezers run on heat pumps, which can take out 16 joules of heat per each joule of electric used. Heat pumps (pumping in or out) are the most efficient.
But to keep my tanks temps stable (among other things), I put the main tank in the shade under a roof, and the sump in the open, in direct sun, but use water lilies and floaters like salvinia and water lettuce in the sump, to deflect the most intense sun.
May I ask why sump in the sun? As a kind of UV sanitation? But then you shade it with plants... Then I guess for the plants to grow and do the biofiltration?