We use either full check snaffles with copper bars, for side leverage when needed. Or we ride in just halters. We have the Clinton Anderson halters that have knots on the nose, and they work very well, in place of a hackamore (if the horse is familiar with how to respond to the pressure).
For show, if I feel I need a shank bit, I have a short shanked dog bone that works very well for refinement and subtle movements.
There is something about riding down the street on a prancing horse that makes you feel like something...even when you aint a thing - Will Rogers