Looking to attatch carbon fiber lip to front bumper, but am really trying to avoid drilling holes.
Does anyone know any methods to attach?

Front Lip

 

Depends on how that lip mounts to the bumper, if you don't want to drill, you're only option is double sided tape.

what's the hesitation with drilling? I would imagine the drilling is only thr underside of the bumper

 

Live in Chicago terrible winters, my NX200t and Toyota has sides already rusted. Trying to prevent wear on new vehicle thats all

 

You're drilling into plastic (bumper) and carbon (if the lip is real carbon), none of which will rust.
Use stainless steel hardware with anti-seize on the threads. Once it's installed, shoot some grease over the new hardware and you're good to go.