I would let her decide how seriously she dislikes the place by leaving it up to her to apply to other schools, find out when/how she could transfer, etc. In other words, don't discourage her, but don't help either. If she really does not like it there, she will take the initiative, transfer and hopefully end up in a place more to her liking.
It sounds like she is having trouble finding the kind of people she wants to hang out with -- people who are into writing and not drinking. Is there an Honors College, or a writing club / newspaper etc that she could explore joining? Once she finds "her" people she might be completely happy. But she needs to do a more focused search, not just meet people from another dorm. Unfortunately freshman dorm life can indeed be dominated by the desire to fit in, which most often translates into accepting the culture of partying and drinking. If you are not into that, it's easy to feel like an alien. I am not sure that smaller colleges are any different in this aspect -- I just really don't know.
Just one more note: Great unhappiness your freshman year can really cause havoc on your academics. For this reason alone, and in order to support your daughter's writing aspirations, I would suggest being supportive of her efforts to change schools, if that is what she decides to pursue.
But again, I think the best measure of how seriously she wants to go will be the amount of time and effort she will put into finding a different school. Support her in that.