as far as ik know there is no way of muting the direct 11r sound in your headphone in other daws than protools,i also had your problem, the only way i know is to lower the rug output and output to amp to a level that u cant hear it and raise the volumwe on the daw track.sadly only pt have the option to mute headphones as far as i know
you mau tru that daw output suggestiion from deansy,i didnt try it if i remember right