On upper level event horses, I have had to use tougher bits, on occasion. I have used a full cheek gag with double reins, which I liked a lot. I rarely used the gag, but it was there just in case.
For horses that were simply pullers, I love my kineton noseband. It is a great piece of equipment.
Only once have I ever used a hack. It was a horse whose tongue had been cut halfway through by a previous owner. The scar tissue and the deep gully in his tongue made any bit awful for him. The hack worked well for him, but it wasn't because he was willful.
I am not a fan of pelhams, personally. They have the toughness without any of the refinement. But, a double in uneducated hands could be too tough for many people to handle.