There is a way to disable the display in newer firmwares.
The HD&HD2 have infrared touch, I like mine but ants on the display are having some influence. My time with long hair is long gone, so its not a problem for me.
The HD3 has capacitive touch, should be less reactive, but has smaller buttons too.
Most of the firmwares allow recalibrating the touch, something you could try before cutting your hair out of love for the device.