I personally don't care for such questions, since I think if you really need to get something done through a webapp, you shouldn't care whether it's free or not, and you should get all the available options free or not, and make your decision accordingly.
It's also a pain because why would we want two versions of every question?
Where can I find great webapps that do {x}?
and
Where can I find great free webapps that do {x}?
However, if the poster really doesn't have any money, I suppose the non-free options don't help them, so I don't think it would be entirely fair to disallow this sort of question.
But on the whole, I think more people would benefit from the former question, and it will be easier to have a comprehensive(ish) list of all web app options for {x} in one place.
So I vote, we combine these questions and have a rule that asking for specifically "free" options for {x} will be generalized into "good web options for doing {x}", period.