There are less than 20 NTP positions available for FY12. Technically, you can submit an application as long as you are within 1 year of graduation by the time the board meets.
I am not working BSN students for NTP. The reason is simple, they are not competitive at the moment. I target recent graduates with less than 1 year of clinical experience. Why? Faster return on investment. The hiring authority is looking for candidates to fill these slot fast. So, getting someone with some clinical experience that is ready to go now versus a student that must wait to graduate is a higher priority. This is the current climate, but it may change in the upcoming years.
If NTP is not an option, get 1 year of full-time in-patient clinical experience and apply for the fully qualified board. I had 5 NTPs that were non-select, although each one of them was awesome...and all five are currently working and applying for the FQ board next year.
Don't think of the current situation as a dead-end, its just a detour.