First off - she doesn't sound all that into you to me. Though she agreed to go to Vegas with you (?)... that's a win I suppose. You paying?
If she's not viewing this as a free trip and you're actually getting solid IOIs and won't make a fool of yourself or endanger your career (you do have to work with this girl...........) then escalate slowly.
Get her used to touching with kino.
Get sexual with the way you speak and get slightly suggestive. If she's responding and reciprocating, escalate further and try to close.
Good luck