I use a english hackamore one one horse and a crossover bitless on my TB.
Loooooove being bitless, and plan to stay that way
I love both bridles. I did try the hackamore on mt TB but he felt over sensative to it, like the slightest pressure would be to much for him, so I put him in a cross over and he was perfect. Stuck the hackamore on my other boy....and it worked wonders on him
I have also tried the rope halter type bitless. This was a home made one. Made from a rope halter I already had....and just stuck reins on it, was fine, the only problem I found was it did tend to slip up the face sometimes, I thought that was proberly annoying for the horse to went for the hackamore which worked out way better.
So I think ...if you can borrow a selection of a couple different bitless bits and see which one your horse likes best. Hell tell you which one is the right one.