I don't think there is an easy solution to the QB situation. The only way I would draft a QB at #14 in the Bears current state is if someone fell into our laps. Otherwise, there is no QB worth the 14th pick.
I am not trying to say that it is always bad to draft a QB in the first round. There are too many factors to determine that. However, in the Bears current state, and with the current available QB's in the draft, there doesn't seem to be a good fit.
My point was more in respect to recent years. For some reason most of the new QBs are not producing as expected. Rivers seems like the only above average QB to be drafted in the first round over the last few years.
Now if the draft is your route, who do you pick at #14, Woodson? Ryan and Brohm seem to be slotted to go in the Top 10.