I am designing a 2-layer PCB in EasyEDA that will have some RF input via an SMA female PCB connector. My query is how best to link the two shielding contacts on the SMA connector to the ground plane to minimise interference etc.

 

The footprint of the socket is not yet finalised, but is basically a central pad flanked on either side by the two shielding pads, as in the image below, along with the type of connector being used and another board with the pads in place. In these two shielding pads I have placed a set of vias that I want to connect to a ground plane when that is made. What I am unsure of is whether to connect each of the vias to the Gnd net in the schematic, so lots of wiring, such that when the Ground pour is done they will be linked or, is there another way to do it that is equally effective?