So if the radius is expanding I dont know how that is "incorrect". Also I dont understand if the so called "expansion factor" exists and the radius is expanding at a critical rate, the universe is infinite.
The 'radius' for the critical expansion rate isn't a radius: it is an expansion factor. And, yes, in the model, at the critical expansion factor, the universe is always infinite (also true for negative curvature, by the way). Your not understanding is primarily due to you not looking in detail at the math involved.
The only other possibility for a 'flat' space is a toroidal universe. Essentially, space would be periodic in that model.