Have you found suitable cycling mount already? Relic provides the mounts for your cycling options.
GP-F Combo Mount
Mount on handlebar for Garmin & GoPro.
Material: AL6061 T6
Barbore: 31.8mm
Weight: 72g (w/o adaptor)
Adaptor: 25.4 and 22.2mm
Color: Black
PRO-F & R (front & rear mount)
Compatible for GoPro (F: bar R: saddle rail)
Material: AL6061 T6
Barbore: 31.8mm
Saddle rail: 7mm
Weight: 53g (front), 53.5g (rear)
Color: Black
Cateye Computer Mount
Material: Nylon Fiber
Barbore: 31.8mm
Weight: 19g
Shim: 25.4 and 22.2mm
Color: Black, Green, White