I still don't agree with adding a crafting system, but as long as we're theorycrafting here, what I would've done is to allow you to break down unwanted emblems you already have into shards. Make the shards mainstat-specific so that if you break down an emblem of Valor you get Valor shards. Why would you be able to construct a Luck emblem with shards gained from a Valor emblem? Or, for that matter, the 'no-stat' shards we're getting now? The higher star count of the broken-down emblem, the more shards you get. Then use the expedition maps to provide one random mainstat emblem schematic as a guaranteed reward for completing all three expedition maps. If this would give too many schematics, make the expedition maps require multiple 'invitations.'

Don't tie the star level of the schematic to the map level, make that random as well. I don't think it's fair that low-level expeditions don't have a chance to get 5* schematics. Lastly, since shards are gained through breaking down emblems, give normal tile rewards for the individual maps, not shards.

Seriously, we already get a crapton of useless emblems from scouting...give us something to do with them other than recycling them for a pittance in useless currency. And if you wind up crafting an emblem with crap substats, you can simply break it down to contribute toward the next one.