Well, I think you know where you're falling short. That Turb PIC number:
You know, people have been hired without it, though. There have been times in the past when Majors have dropped the TPIC requirement.
The tough thing now is that you probably have literally thousands of guys & gals out there with thousands of hours of Jet PIC because of the post 9/11 stagnation that you'll be competing with for that job.
I'd say without some inside pull, you're going to have a tough time making it to the top of the call list given the other candidates that your app will be compred to. Remeber, published mins aren't necessarily competitive mins.
This I do know: They will absolutely not hire you if you don't apply. So my advice is apply now and update often. It shows interest and at some airlines you get "points" for how long your app has been in and active. Certainly doesn't hurt you.