well that sure would be a new one if I saw someone ringing away at a bell attached to her HEAD 
If the bell attachment is too small (very strange! do you have really fat bars or tubes?) you'll have to use a cable tie anyway. How about the stem or the top tube? Leaves you space on the handlebars for your hands.
Winter riding is much less about badassery and much more about bundle-uppery. - malkin
1995 Kona Cinder Cone commuterFrankenbike/Selle Italia SLR Lady Gel Flow
2008 white Nakamura Summit Custom mtb/Terry Falcon X
2000 Schwinn Fastback Comp road bike/Specialized Jett