I would suggest your County Extension Office. Ours has mats, rotary cutters, rulers, and yes even a couple of machines available for use. This can be a valuable asset if one is just starting -- one that is usually overlooked by people in larger cities. When I lived in Ohio, I frequently drove past the Extension Office, but never stopped to check it out. But now I spend lots of time there. We have canning classes. Two quilt groups -- one day and one night one for those who work. It is a frequently an overlooked resource.
So technically you could make that quilt for the price of your fabric and thread, and the price of Homemakers' dues (ours are $7.50 a year). If you are a mailbox member, you don't have to attend meetings, but you do receive a Monthly Newsletter which lets you know what activities are available. I know this was one of my grandmother's resources.