Rumor has it that BlackBerry is shortly coming out with a media dock for the BlackBerry Z10 with a HDMI media connection. Until then Terrence pointed out to me that MobileFun in the UK has started listing a desktop cradle for the BlackBerry Z10 from Cover-Mate. This desktop cradle only plugs into the MicroUSB slot so it will offer both charging and device synching in the cradle though no HDMI passthrough. On the other hand they do add in a LED charging indicator and it claims to work with really thin cases.
If you are hankering for a desktop dock check out the Cover-Mate Desktop Cradle for the BlackBerry Z10 for $30.99