Simply put, do what doesn't hurt, and don't do what does hurt
You should be able to get by on a stationary bike, you may want to adjust it so you're pushing off on your heel rather then your midfoot. You may also want to try an elliptical, as a lot of them take away a lot of the movement of the foot. They also more closely emulate running, so you'll transition back into it more easily. If either of those cause pain, try something else, like rowing or swimming. Ice is always good to reduce inflammation, which is likely the source of your pain.
When your start to recover, you'll want to strengthen the plantar fasciae, you can do this with stretches and exercises (quick Google search can turn up a few, like can rolling, picking up marble or a towel with your feet, etc.), and barefoot running can help as well. When you run barefoot, you land on the balls of your feet, causing you to use your plantar fasciae, Achilles's tendon, and calf muscle like a spring. This is the "natural" function of this group, and a great way to strengthen all of these muscles & tendons. Start small, just a few strides on grass, when you feel comfortable work up to a mile on grass.