Unfortunately the team bus enters via the underground roadway so no chance of meeting them before the game.
Not sure what the current arrangements are but the players normally spend the night of the 1st game of a double header with their families before meeting up again the day after, so you might catch some of them leaving after the game via the main entrance, but can’t guarantee that is the currently the case.
Depending on how feasible it is your best bet for meeting them in at the training base at the Oriam in Edinburgh, think they stay at the Courtyard by Marriott across the road from the Oriam.