Question about a Stud situation.

A big donkey completes from the bring-in with a 2 (he has extremely weak calling standards, but I don't know much about his betting and raising standards, but I haven't seen him play aggressively without a strong hand), it folds to a 5 who calls, it folds to me and I'm last to act with rolled up 7's.

Does everyone merely call in this situation, or is fast-playing against a weak calling station who is showing strength better? What is a good plan for the later streets in a situation like this? I'll share what I did and the result of the hand later. The results are pretty surprising.