You can simply use GSX to go to a parking with the "Just Warp Me here" function, instead of the standard "Go To Airport" menu, because GSX, in addition to group gates using their correct names, which already makes it way easier to find one, will also indicate in the menu if that parking is too small for the airplane you are flying.
Since GSX is entirely free to use at all FSDT airports, even if you don't own it, there's no reason not to install it anyway. In fact, several features of the scenery, such as docking systems, won't work without GSX.
