I have always liked to ride bareback also, but with some horses it just is not a safe thing to do. In my younger years I rode many a horse bareback, but my own QH mare I got when I was 45 threw me soundly when tried to mount her barebacked.
I got on her right enough, as soon as I was astride she soundly bucked me down. I tried one other time and she immediately laid her ears flat, so I was okay with that and never tried again. Do you carry a riding crop or maybe a dressage whip?
As for the "snaking neck and attitude behavior", those are not breed specific tendencies as I had an experience with a POA that was a dangerous pony/horse. His owner's were non-experienced horse owners and that POA got away with every bad, dangerous behavior known to the nature of horses in regard to human exposure.