First, decide what you want to shoot, and in what lighting condition.
If you want to shoot in natural light in daytime, where you can get fast enough shutter speed at f4 or smaller aperture, f4 non IS will do just fine.
If you want to shoot in dark indoors with lots of movements, then extra stop will make a big difference, and IS won#t help, because it's not camera shake, that's the issue. It's the subject moving, and to stop the action, you'll need shutter speed.
If you are shooting fast action in varying lighting condition, again, the extra stop can mean a big difference.
If you are shooting dim lit, but relatively speaking still subjects, then f4 IS might do the job OK.
Think why you want the 70-200mm. It's not a creative/specialist lens, but a work tool, or at least it is for me anyway. So get the best you can afford, and will need.
HTH