There is no 'best' airline, because everyone's opinion on what qualifies as 'best' is different. Some people look for low cost, others look for convenience, or ease of making reservations, others look at safety records, others look at additional in-flight features, etc. Since you know your anxiety is 'ridiculous' however, the best suggestion would be for you to find a flight that matches your schedule and budget regardless of which airline it is, and take that one. I personally like Jet Blue and Virgin America, which is now owned by Alaskan Airlines, but it all depends on where I'm flying. Keep in mind that flying is still much safer than driving.