A fan angled so that it blows over the surface of the water (so the water ripples) can cool of the water by about 2 degrees Celsius (I'm not very familiar with Fahrenheit). Fans can be quite cheap, though the cheap ones are noisy. Most people say axolotls don't like too much current, but I haven't noticed any obvious dislikes.
Another cheap, easy option are cooling blocks (or even plastic bottles of water) which you freeze and then put in the aquarium. If you do this consistently, it can cool the water down by about another 2 degrees C.
I was worried myself the stupid axolotls would bump into the frozen blocks and hurt themselves, but I've never noticed that either.
Not much fun, but also effective, is simply blocking any sunlight - wrapping the aquarium in white cloth (or, if you want to be even more ridiculous, tin foil) would definitely help. It does defeat the purpose of having an aquarium, I guess.
Chillers are definitely expensive, but their job can also be replaced by your fridge and manpower. A chiller is basically a small fridge that the water gets pumped through. If you can get a few gallon of tank water in the fridge, and keep swapping the water in the tank with the water from the fridge (back and forth), you're basically doing the job of the chiller. I doubt you'd want to do that for a whole summer, and do be careful not too replace too much water at once. Sudden temperature fluctuations aren't good for aquariums.
Lastly - and I won't make any friends with this - 80 degrees Fahrenheit is survivable. The axolotls definitely won't like it, and it's not good for their long-term health but if you can keep the water clean, they'll manage a few days of 80 degrees.
Of course you should try your best to prevent this, but don't panic and think they'll drop dead from the temperature.