Are there HDMI connectors (large, mini, micro) that point the connector away from the PCB plane surface (cross product 3d vector)?
sadly i couldn't find small ones (C or D).
checked on Digikey, Farnell, Mouser, AVNET.
and Manufactures: Molex, Samtech
i think the reason is that for TV's and Monitors you need sometimes Vertical Mount HDMI and they use only the A Type.
Just for reference, most HDMI receptacles are 90° (aka RA).
The ones you are looking for are called straight or vertical, but for the Beta, they seem to be of little use.
(what would be the purpose of having HDMI receptacles pointing to the front of the camera?)
I've investigated another kind of HDMI receptacles, labeled V-RA (vertical, right angle), which seem to be suitable for the Beta Shields.