I recently had a CT Scan at my own request. It was not covered by insurance and cost me $200 out of pocket. For me, it was worth it since it screens lung cancer, emphysema damage and heart damage. My results were very affirming in that there were no surprises.
Here is a notice from the Mayo Clinic:
I have 6+ Years Smoke Free! For me it made sense even out of pocket. Is it time to have that discussion with your Doctor?