Unexpected heat wave

Hello everyone, i am a proud father of a boy for about 4 months now, and a sudden heat wave got to where i live this past 4 days, going to almost 82-84 degrees! sadly my home can't have a normal AC installed, so while i look for a portable one to buy would one of those "diy air conditioners" made using a bucket, Styrofoam and a fan near his cage work?

I'm so worried these past days i didn't even go to work, meaning i can't get the money to buy a decent ac if this goes one :(