Big Lick horses are made to move that way. It's unnatural but the conformation and the movement was there before they were created to move that way. I understand that you wouldn't want to associate yourself with the cruelty that came from that type of showing but the horse itself might be something to be proud of.
The vet says my mare has excellent conformation (I don't have any papers on her). She's the kindest most gentle thing. I think she was cowboy broke because she was really nervous around us and sudden movements had her ready to run, although she is very respectful. It took about a year to gain her trust... Now she's a spoiled little diva!
I had a walking horse gelding that was so sweet and kind and gentle. He was supposedly out of some really big name and was born into a show barn. I remember that he was so timid around men yet he would NEVER misbehave. It was like he was terrified but he was too big a man to show it and way too smart to put himself in a position where he might get beat. He was a wonderful horse. He's buried out back...
"Be a best friend, tell the truth, and overuse I love you
Go to work, do your best, don't outsmart your common sense
Never let your prayin knees get lazy
And love like crazy"