I don't think it would affect Eli's mod - hard to say though. It actually looks like Blacksmith is quite popular on Xbox, I just haven't heard of it for whatever reason - so if there were major issues, you'd find lots of reports.
The only thing left to do, is load up a new character with your current load order, get to Local Leader as quick as possible and test if you can send settlers. In fact, to make this test super-useful - start up a new game with 0 mods and make a save just outside the vault. Then enable your mods, and create a new copy of the save - that way you'll have a fresh save after the start sequence to test from if this happens again.