I have a Kent and Masters Dressage on my Connie, he has an Ideal Event saddle too. I found Bates (or Wintec) had a too curved tree for Connies as all one ones we have had have been very flat backed.
I have a Wintec Isabel on my Connie and love it. I have long legs but a short body so the moveable blocks are good for me. Edited to add not all the trees are the same, I can't get a Bates to fit him at all!
My mum has an overgrown connie. He was in a Kent & Masters cob until she got weight off him and his physical issues addresse. He's now fitted with a new Wintec Isabel dressage saddle with the "Easy Change Fit Solution" and the shims make fitting his lessening issues really help.