I feel your pain brother. This Summer was terribly hot in the Seattle area and like most people in western washington, I don't have A/C. I just bit the bullet and bought a wine cooler which sucks because we don't need it 10 months out of the year!?! If you only have one room for your cigars with no cool closet or place to put your humidor, what other choice do you have? Is there any way to get your temp lower in the room? Check the temp of your closet and if it's around 70 degrees with the door shut, buy a cooler and keep your cigars in there. If it gets warmer in your room and only slightly warmer in your closet, the cooler will help keep the temp regulated.
If you don't have room nor can afford a larger wine fridge, look at best buy for a small one or keep your eyes open on craig's list etc. But it's hard to say what to do without more knowledge of your house/apartment.
I for one would not want warm cigars, you're just asking for trouble if you store them for any period of time. 80 degrees is simply unacceptable.