Not needed...
Yep, I flew the three-holer, as well....even sitting sideways.
The nose gear brakes, if equipped, were typically removed by most operators. Less weight, no maintenance, no need.
The 727 had great stopping capability. Never flew one with the nose wheel brakes....others have told me the thing really stops on a dime
when using the nose wheel brakes.
Fly safe,
PantLoad