I don't think they will dare meet this weekend. Billie's attorney probably read her the riot act. She met with Shawn last weekend. They said their temporary goodbyes, reviewed and updated their stories, and perhaps, brainstormed future movements depending upon anticipated scenarios (if this>then, that), etc. Then, Billie got an attorney, and we heard from Shawn's current attorney, as well.
There may have been a lot of "babysitting" of Billie by her attorney and others (Billie's family, trusted friends, etc) to ensure that Billie control her urges to meet with Shawn. Phone calls, having supportive individuals stay with her-in essence, holding her hand through the weekend.
Young is not MK, nor can he be led around and manipulated like Shawn and Clint. He's a defense attorney, and he let her know in no uncertain terms, IMO, that she is not to meet Shawn this weekend. Perhaps, humanistic in offering his services to Billie. Perhaps, a benevolent father figure of sorts to Billie, but one that let her know, firmly and clearly, that she will play by his rules, and under his terms.
Not this weekend. No. It's H's 3 month vigil. Next weekend, who knows?