I do that all the time!
I make a "hanger" with paper clips that goes into the sprocket hole. I make a "weight" that goes to the other end of the film out of the same stuff. The short strip will curl badly as it dries, so without a weight, you'll end up with a coil. I wash them by carefully reeling strips into my developing reels, so the imaging surface doesn't touch anything during the re-washing process.