Re: Questions on not asking the wrong person.
Here's my take; just be really close to her, but don't actually make any moves on her. You said that at the end of that party, she was high spirited and glomped you. Just do whatever you did at that party that you think made her that way, and just forget about your goal of "dating" right now. Focusing on dating will just build up stress. She wouldn't actually be seing you, but a stressed out "bizzaro world" version of you.
Zen dating - hell yeah.