Is there anyone you could get to come by for just a few minutes a day? If your house doesn't get over 80 degrees, the temp alone shouldn't kill it. I'd mainly be worried about his humidity dropping if you left him. It'd probably get too dry in a day or so. If someone could come by and mist him and change his water and drop a couple crickets in every day, it would only take a minute or two of their time.
Not ideal, but he probably wouldn't die.
By the way, you mentioned keeping your frog by a vent to keep it cool... Not really relevant to your current problem, but having cool air blowing on a frog can make them very ill or even kill them. If you have to put your pac near a vent in the future (or even if there's one nearby in the room) you might want to put a towel or something over its cage to keep the air from hitting it.
Just wondering, what temps are you keeping your frog at? 70 degrees is at the low-end of acceptable night time temps. 80-85 degrees is recommended for daytime and 75-80 for night. If their temps drop much lower they will stop eating.