Personally, I don't think she really went out of town. In the KTAB blog article, it said IIRC when Maria went back to get Billie on camera with her reason for backing out of the chat, that Billie wouldn't answer the door. That gave me the idea that Maria knew Billie was still in there.
IIRC Billie said she "was trying to" go out of town, versus that she was going out of town.
I don't know. I just think someone showed her the questions, or told her about the questions, on the chat, and she backed out.
I didn't see the type of questions posed to BD in the chat (although read some of the reactions here). Backing out of this chat is the first smart decision BD has made.
Also, living in Colorado City, going out of town could mean going anywhere other than the local Dollar Store. Then again, if relatives are traveling somewhere and want to arrive before dark, then yeah, two hours to wait on a chat would make a difference. But it's my guess she didn't want to answer questions about the *advertiser censored* images.