How can I start getting more physical while flirting?

I'm a college guy and I've been talking to this girl recently. We go to parties together and every time we always hug goodbye before we she goes back to her room (I walk her back as far as I can). While we're there, we usually always stand next to each other and it's not uncommon for me to hover my hand around her, sometimes fully around her but not for long. I think we like each other but I'm afraid of being too forward or making her uncomfortable.

What are some things I can do to be more physical with her? I was thinking like just go for it and put my arm fully around her and see how she reacts. I was also thinking of asking her to dance with me (we usually just talk while we're there, we don't dance much). Are these good ideas?

How can I start getting more physical while flirting?
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