Johnny's Net does not have the airing date listed on the TV appearances section yet, but the Johnny's Jr. FC members have received information about applying to the recording of the episode. The episode with Kis-My-Ft2 will be recorded June 26th :3 Information about the actual appearance should appear in Johnny's Net soon.
Source: ジャニーズJr.情報局 (Jr. FC mailing list)
(Now let's see if they can come up with the official debut date before that! XD;)