Well I fixed it and it only cost $2.00.
I used one side of a strip of velcro (the hook side) and cut it to fit as the hinge from the inside. This stuff works perfectly. First of all, no holes. Then it's black (matches great) and weather proof, flexible, and wears like iron. You can't pull that stuff apart once stuck to the plastic.
I was looking in Home Depot for a hinge, and couldn't find anything I liked and just happened past the velcro display and started thinking..
This is the simplest solution and looks like factory.