There is no way in Garmin Connect to have a large view of the map. Event in the player mode, there are still the elevation, speed, time displayed. It would be good to have the possibility to view the map in full screen, as it exists on Runkeeper.
I have created a bookmarklet that will add a full screen control button to the map. You will find instructions on how to create and use the bookmarklet here: http://git.beroni.us/fullscreen-maps/garmin-connect/
Note that this might not work with the new design since it's not activated for my profile yet so I haven't been able to test that.