Imagine that Belle knows that in a few months she and her father are leaving the provincial town for the land of her dreams, someplace magical and wonderful that encourages girls to read and learn and have adventures. (Hogwart's, maybe. Post Voldemort of course. And hope no one notices the resemblance. "Ron, stop staring at that girl! I could look like that if I spent more time on my hair.")
Imagine they already have their tickets.
Do you think she would still be singing longingly about not having adventure, about the boring life the town has planned for her? Or that Gaston and the Nasty Headmaster would bother her?
I think she'd be so excited she wouldn't even notice them!
To put it a different way, the thing that's producing the inner turmoil you mentioned (great term BTW) is the boring future she's stuck with.
Although Jim paraphrased to make his point, the line from the song is actually "I want so much more than THEY'VE got planned." The townsfolk have stuck (Universe) her with a boring, unfulfilling future.