There's a girl I'm more or less decent friends with,

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There's a girl I'm more or less decent friends with, who attends the same school and has the same circle of friends. I'll greentext her general bio for context:

>she's 20
>never had a boyfriend
>introverted and shy, but not aspie status
>family type chick, as in; regular sunday mass attendance and what have you
>bookworm

We went out on a coffee date, went much better than I hoped. I ask her out a second time, she tells me she's busy that weekend. Anyway, we've hung out together in groups of people multiple times since, mostly at parties/get-together I have at my place.

I had a mutual friend 'discreetly' approach her on the subject of dating, she said that she "doesn't want to do that at this stage in her life" and that she likes being alone.

Thing is, the more we hang out, the more we click together. I'm really attracted to this person.

Is this a dead-in-the-water endeavor or is there still hope given the loose context? IMO, my best approach may just be strengthening the friendship by us hanging out more over the semester. Thing is, how do I suggest that we do something alone, away from the group, without explicitly implying that it's a date?

I don't know. I never get a straight-up 'no' from her, but from what I gathered, my chances aren't fantastic.