How about being able to launch the expedition map right at the end of an expedition after receiving loot? That way we can skip loading Fort Tarsis just to turn around and bring the map up to launch another expedition.
I could see something like that working in certain circumstances, most quests have an "acquisition phase" where you actually have to go talk to someone before you can launch it from the expedition menu.
Assuming you had a few queued up, or if it was an activity that was always available that could be an option! ๐