Anyone ever see a mobile rpg where you gear your hero and select his spells and playstyle, then send him out on missions and wait 2h-8h for him to return with loot/experience? I got the idea from those city builder games where you select tasks and return to the game in 5 minutes, 2 hours, or more. So basically you maybe have several heroes and you pick a place to send them (
multiple heroes so that you have multiple timers running). There should be other non-adventure tasks that instead of taking 2-8hours take only 5 or 15 minutes. It should mimic the mechanic of those empire games, which I think is an excellent way to do things on mobile, considering people are on a schedule.
All combat could be simulated. Perhaps have a combat log that shows all the fights the hero took place in, and how he did. The amount of sophistication in combat can be anything.