No worries your last message clarifies better your situation and I would like to suggest you a couple of things.
1. You may ask this question to the second doctor (from your state): What makes him/her concluded that no bacteria or fungi will grow in your sample? Also ask if drink a lot of water or fluids the day before your appointment (sample collection) will help? Be also ready to tap several times on your chest before you cough just to loosen deep sputum
2. Tell him/her that your goal is to show that no grow occurs in the culture and that you need to do it as soon as possible and do not give them the chance to push you back. He/she should not assume anything, ask for any evidence or a signed letter you could send to your VO.
3. Ask your old DMP (other state) to recommend you to a well known lab
4. Or contact another lab as soon as possible to give them your sample. I am sure that they are going to be looking for: Bronchitis, lung abscess, pneumonia as well as tuberculosis and as far as I know, mycotuberculum is going to take at list 21 days before you can see any grow, for that reason, expect one month before a conclusive result. That may be the reason why the doctor from your state is refusing to conduct the experiment.
5. I am sure that something is wrong in your lungs and they just want to make sure that it is nothing special so you have to convince Ottawa that there is nothing to worry about and a negative culture will do.
Hope that help my friend and by the way do you smoke?
Cheers,