On June 30th in History...

Still no activity on the Atlantic basin and the same situation as blogged about below for the Pacific, but in the past things were a little different for June 30th.  

In 1989: 

"29.52 inches of rain fell in 6 days from Tropical Storm Allison in Winnfield, Louisiana." 

Also:

"Shreveport LA finishes its wettest June ever with 17.11 inches of rain during the month. The previous mark was 14.67 inches, set in 1986. Some areas received as much as 24 inches. The excessive rainfall was primarily the result of the remnants of Tropical Storm Allison." 

In 1994:  

"Tropical Storm Alberto moved inland near Panama City, Florida, causing virtually no damage. The storm then stalled over south Georgia. Over 20 inches of rain fell in some areas, causing extensive flooding that drove 30,000 people from their homes."

Source: http://www.theweathercompany.com/cgi-bin/wxnotebooksearch.pl