In a manga I am reading, I came across the following sentence. 注目集めてるな。早くミクを探そう。
The speaker just crashed on his skis and a crowd of people started to gather around, thus garnering a lot of attention to what just happened. The speaker is somewhat stealthy leaving the scene and saying that it seems he should look for ミク.
My question is that I believe this to be a case of そう where it should be connected to the verb steam in order to mean seems or like. Is that not how this is working here? If this is the case I suspect it to be, why did the し get dropped off of 探しそう?
Any help would be appreciated. Thanks