Every couple of months I have to fly from the east coast to the south for family/work and I have this EXACT same feeling. The flight is usually only about 3-3.5 hours total, but regardless of the weather, I continue to overplay the stalling scenario over and over in my head until I feel physically and mentally sick.
I used to LOVE flying, but not so much anymore. I have done some soul-searching about it and I think I have found why I feel like this. The current state of US-based airlines (pilot shortages, aging planes, airlines cutting costs, holiday travel disasters, etc) all make me have an overwhelming sense of feeling unsafe at airports and on planes.
The quality of air travel has gone way down in the past 10 years- and even more so since COVID. For me, it's a sense of the overall "cheapness" that the airlines have now. The planes don't feel as new and shiny anymore to me. Most airlines (as we saw with the Southwest holiday disaster) are still really struggling with staffing issues. I recently got on a flight from NY to DC not too long ago (night flight) and we had to deplane because they didn't have a pilot to fly the plane. Even though this is a small issue, it still can make someone (especially a person who doesn't like errors) feel like things are unorganized or out of their control (thus causing the mind to wander).
I am not suggesting that air travel is less safe than it used to be. I doubt that to be true. But what I am saying is that when you see all the craziness on the news (crashes, plane issues, pilot shortages, etc) it's only rational for the mind to wander to thoughts like, "Did the maintenance crew do their job right?" "Are the pilots trained enough for a stall?" "Is their gas in the plane?" etc.
If you are flexible on timing, see about taking the Amtrak train or taking a car (if you have the extra time). If you absolutely, positively must fly, I suggest going with a more expensive provider like Delta. To me, their pilots seem more professional, a little bit older in age, and more experienced. A lot of them also are retired military pilots. From my experience, it's these small details that really go a long way when providing someone with mental comfort and peace. I think this might help with the overall cheap feeling that most struggling airlines are experiencing these days. (Cough Cough* Southwest)
TL;DR- This feeling is totally normal and it's okay. The airlines are still struggling and passengers can tell- thus creating anxiety in just about everyone. Take alternate modes of transportation through Amtrak or driving if it's a possibility. If not, fly a more expensive airline if financially able to do so. Good luck my friend :)