TRAC: Your source for comprehensive, independent and nonpartisan information about U.S. federal
immigration enforcement.

With references and everything ("... obtained through a series of FOIA requests submitted by TRAC to the Executive Office for Immigration Review.")

Sorry that I can't provide you more recent data. By inspecting the HTML of the linked page, however, it was last updated June 18, 2019, so perhaps in a few more weeks they'll also include the stats for June, not to give credence to your notion that the crisis only started in March.

From the link below:

The latest case-by-case records from the Immigration Courts indicate that as of the end of May 2019 one or more removal hearings had already been held for nearly 47,000 newly arriving families seeking refuge in this country. Of these, almost six out of every seven families released from custody had shown up for their initial court hearing. Usually multiple hearings are required before a case is decided. For those who are represented, more than 99 percent had appeared at every hearing held. See Figure 1. Thus, court records directly contradict the widely quoted claim that "90 Percent of Recent Asylum Seekers Skipped Their Hearings.[1]"


Figure 1. Attendance at Immigration Court Hearings
by Families After Release
(shown below; click for larger image)

Under our current system, there is no legal requirement that immigrants actually receive notice, let alone timely notice, of their hearing. Given many problems in court records on attendance and in the system for notifying families of the place and time of their hearings, these appearance rates were remarkably high.

These and other findings discussed below are based upon an analysis of court records conducted by the Transactional Records Access Clearinghouse (TRAC) at Syracuse University. These court records, updated through May 2019, were obtained through a series of FOIA requests submitted by TRAC to the Executive Office for Immigration Review (EOIR).