If you don't have:
* noticeable phlegm production (say 30ml plus per day) - combined via involuntary coughing/involuntary throat clearances and attempts to clear you lungs by deep breathing combined with voluntary (ok semi-voluntary) coughing it up
* recurring Infections (recurring includes even if only a couple of them a year) that make you feel so unwell that you need to go to the doctor for relief
* bouts of tiredness or malaise
* no colouring up of your sputum by noticeable yellowing/greening/browning of your sputum form baseline of white/silver/light grey
then I would doubt you have bronchX. A pulmo might not think a CT scan in those circumstances is justified (unless you pay for it). Just my take as a reasonably experienced sufferer who watches the experience of other sufferers and reads the internet extensively. I'm not a medic so no reason why you shouldn't give it a try.
Here's what one doctor-guidance on-line guidance says about the diagnosis of bronchX:
"Signs and symptoms
Clinical manifestations of bronchiectasis are as follows:
Cough and daily mucopurulent sputum production, often lasting months to years (classic)
Blood-streaked sputum or hemoptysis from airway damage associated with acute infection
Dyspnea, pleuritic chest pain, wheezing, fever, weakness, fatigue, and weight loss
Rarely, episodic hemoptysis with little to no sputum production (ie, dry bronchiectasis)"
So ... note the last one; maybe you have the "rare" dry bronchX. Worth highlighting that possibility to a pulmonologist and particularly if they have access to a bronchX specialist pulmonologist. I have no idea whether the rare dry version can come without all the other symptoms of a normal brochX diagnosis or not