Yeah gas might worsen this.. gas might even be caused by dysfunctional vagus though because this would prevent proper peristalsis. Try massaging your neck and see if that does anything, for better or worse.. won‘t cure it of course, but might hint in a direction.

And/or book an appointment with a (highly rated) physiotherapist/manual therapist for neck/vagus nerve treatment. It might just do the trick.

Thanks for the ideas!