Saints met with top QB prospect Cam Ward [Schefter: CLE, NYG or maybe Saints have to make an offer compelling enough for #1 pick]

who exactly are they trying to confuse? This is crunch time…they aren’t going to waste their entire staffs time unless it was for a better reason than deception and hanging out in Miami (which frankly, sucks).
True critical thinking involves recognizing all of the possibilities and also recognizing the differences between belief, desire and knowledge.

I've never seen so much wish casting for a player like I have seen for Ward.

If the Saints and Titans, for different purposes, convince the other 30 teams that the Saints want to jump up to draft Ward, then it could easily set off an early run on QB's. That has happened frequently in the drafts. Several teams panic when it comes to drafting QB's. If the Saints can trigger an early run on QB's, then that will push better players at other positions down to them. They might even be able to snag one of the top 5 rated players at 9.

Loomis going to Miami for a couple of days would not interfere with his work.

Miami sucks to you, but beauty is in the eye of the beholder and a lot of people love Miami.