There is a program here in Florida that pushes to have people diagnosed with lung cancer get treatment as quickly as possible, because they recognized how important it is to move fast to have better outcomes. My dad started his experience with his first stage 2b non-small-cell lung cancer in December 2009 with a chest x-ray. He had a stay in the hospital with pneumonia that may have delayed his surgery plans. But even with that, he had his surgery in February 2010, a little less than two months after his first chest x-ray.
I wouldn't spend months searching for sure. As soon as possible is a good idea so you can start to heal up and get into adjuvant chemotherapy, but your surgeon would know best. Dad had a very good outcome with that first cancer, and resumed normal activities for two years.
Maybe you could check with organizations devoted to lung cancers to see if they maintain any lists of thoracic surgeons with the most experience in this type of operation in your area, for a second opinion.