Hmmm, yes Bates do have the square panels, which is why they don't fit my guy. The caprilli, at least the older model that I have has a pretty nicely cutback pommel that would be good for high withers. It was great for the andies and freisians. I know you said you weren't a fan of Bates, but you might want to give them a try. Elam sells them, did he try any on Lincoln when you were there?
Just One More in Prince Frederick carries saddles. I can't remember all of the brands but I know they have courbette and bates and they're usually pretty willing to order stuff too.