With W&N, you can do 2". Or you can do a a flanged, or simply a two sided binding or consider piecing out some strips that are hidden in that double fold... Yeah, it's annoying but sometimes a 1" solid in a similar color that is pieced into the binding and hidden in the fold can be a life saver

there are ways I know this!
Otherwise, do you have other fabrics you can piece into the binding? Say have 10" of your fabric, then (2) 2" strips of coordinating fabric, it doesn't seem like it adds that much length but it does, sometimes I do stuff like that just to connect the front of the quilt to the back.
Many ways to stretch just a bit more out of a piece!