Ha, I used to fly and had my own plane circa late 90's/early 2000's, it makes the owning and tracking my Boxster seem affordable
For shipping if you don't sell your seats locally, the UHaul grand wardrobe box which is 24x21x48 is great for seats, if you cut down the height down from 48" to 40" or less which moves the box outside of the category of "Large box handling". I have shipped a recaro profi seat and a Sparco circuit pro halo seat in those boxes, both with decently sized wings, should fit those sport seats.