Might I just ask, what do you mean by temporary fixes? Have you not been sent a new modem?
If your modem, supplied by AOL keeps breaking down, then as long as you're paying a subscription fee for your service, you should be entitled to a free replacement (within a fair usage policy). Before spending �50 on something you shouldn't have to pay for, call them again - explain the recurring issues clearly and tell them you want to be sent a replacement, else you'll be cancelling your contract because despite a lot of effort on your part, they have failed to rectify issues with their equipment.