All that from binoculars, huh?
Yes, I've seen it without binoculars and it is just a white speck moving fast. It's only about 250 miles up, and you should be able to see that far with binoculars. If you use a telescope it is harder to catch it but the improved magnification should let you clearly see it. There are no viewings until past the middle of this month for where I am, but I will take a picture of it with my telescope when I can.
EDIT: Found a video of the ISS from the ground, it looks like what I remember it looking like when I saw it: