Would it be possible to have field that let's you immediately select yourself on the live map, like near where the scrollable list of players is? Call me paranoid and/or lazy, but I hate knowing that I'm exposed on the map for those precious seconds that it takes the player list to load and for me to scroll down and find myself.
I don't know if this will help you, but when I want to find myself on the live map whilst hidden, i just look at my coordinates then scroll the live map to those coordinates.