Cheapest place to rent a car for atleast a month?

My car is having some issues, needs the timing chain done and the cover replaced. At the moment I'm being told by multiple places I would be without my car for 4-8 weeks once I bring it in. I need a vehicle. Currently I can drive mine, as I did from Conroe to Houston to bring it home – but I'm scared to, what if something happens? I have the place I had my car fixed at ordering the part and they told me that I can drive it with no issues, but with that cover busted any little thing could ruin my engine. I have Midas in Conroe with the part ordered, called dealerships today to see if anyone could get it faster but they're all saying 6-8 weeks.

I looked around online but everywhere has cars anywhere from 1500-1700 for the cheapest option for a monthly rental – that's over 10 times the amount I pay for my car monthly and I barely even make that a month, sometimes I don't even hit that much.

Does anyone know of the cheaper places to rent from?