My neighbors are two hot chicks. I went out with them, my roommate, and a group of friends last weekend. I ended up talking with one of the girls for a while and really want to pursue her. I just moved to a new town and don't know anyone so I don't want to just ask her what she is doing and try to tag along since that will probably make me look very beta and since I don't know anyone I won't have anything exciting going on I can invite her to (at least nothing that she won't recognize as me trying too hard since she's been her a while). I run in to her from time to time and she is very friendly now... so how do you guys suggest I escalate things?

You're advice, as always, is greatly appreciated!

EDIT: I don't have her number. So text game doesn't apply... yet.