Shading your house will also cause the growth of moss and dump leaf litter everywhere, which will take off a significant chunk of your roof's lifespan (easily 5 years or more). So yeah you save $10/mo on your a/c bill and you spend that $20k to roof your house every 15 years instead of every 20 years. Let alone if you get a big storm and have some branches or a trunk come down and damage your house.

Regardless of the environmental angle, having trees near your house is not worth it financially.