Air Conditioner for 110-degree Heat

My family's central AC unit, which is 20-30 years old, finally stopped working. After getting estimates, we learned that not only will we have to the unit itself but the workers will need to replace the duct system and part of the roof near the AC unit. It should cost approximately $9,000. Unfortunately, we have found no way to afford such repairs yet and probably won't be able to before the summer is over.

We live in a part of California where it can easily reach 110+ degrees during the summer. The highest temperature recently was 112 degrees. Even with our "portable" window AC unit it has reached 93 degrees in the one room that the portable unit can reach. (The picture above shows the portable AC's reading at 10 p.m., which was 91 degrees inside the house.) It easily reaches 97 degrees in the rooms where the portable AC's air does not go.

In addition to my parents and me, we have one dog and an elderly cat, over 18 years old, both of whom are not doing well with this sort of heat. All of us have become sick and severely lethargic from the heat. Currently we live off one decent, steady income plus a couple side-jobs here and there. Between health care bills, my student loans, my graduate tuition, and my parents' mortgage, we are having a hard time scraping the money together.

Any help would be wonderful. It's only going to get hotter and the summer has barely begun.