Perhaps another long-term "carrot", is to take a more exploratory approach when cycling with her to discover new things along the way.

Cycling becomes another creative active and healthy way to explore the world. Always approach it from that with her.

Creative types do not like conform solely to someone else's expectations or constantly to group stuff. I say this as someone who was like daughter at her age and even now, am still like that. And after observing a niece and my partner's daughter who are also both creative, do art on their own time, etc.

Your daughter is probably very happy to explore her passions on her own, at her own pace and cycling can heighten artistic Muse.

At some point, you might want to plan an interesting short trip in your area that might lead to some beautiful scenery, gallery, etc.

Wouldn't be neat if there was an artists' studio tour where you and her would cycle to 3-5 different studios? I've done this several times both locally in Toronto and Vancouver, also out-of-town trips. It's a wonderful way to combine cycling, art and inspiration.

In southern British Columbia, we have a number of artist's studio tours annually, some on the islands, or through beautiful areas. Fall would be particularily awesome with the fall colour (if you live in the right area) for a ride and studio touring.