+1 Also, you have to accept the possibility that your school may not accept/make any changes as a result of your in-the-area email. Some schools just aren't receptive.
I was in a similar situation (expensive flight on the order of $400-500) and tried really hard to get a school to interview me around the same time I was interviewing in the area. I sent out an email, got no response for multiple weeks, called, and was told to wait my turn. I eventually gave up on them only to receive an II two hours after I booked my flight to the other interview. Flight protection is your friend 😀