I took the Saints a couple weeks ago against the niners, and they lost SU. Thinking they would bounce back the next week against the Bengals, took the Saints again and they lost a second time SU despite being favored again. Last night I decide to bet against that dumpster fire and turns out I win by taking the Ravens. So, I decided to do a little analysis of the NFC South division ATS (I'm not including intra division games since someone in the NFC South must cover or push in those instances):
Falcons (1 - 6)
Saints (3 - 5)
Panthers (4 - 4)
Tampa (4 - 4)
Saints and Falcons are getting incredibly inflated lines by vegas since everyone thinks they will clean things up for a playoff push (since the winner of that division could possibly be something like 6 - 8). Falcons have faired well against their own division ATS (3 - 1) but otherwise I wouldn't bet on them to cover a single other game this year against any team outside the NFC South. Saints have shown glimpses at times I suppose (drubbing the Pack at home) but unless something huge changes with their defense and the offense actually gets momentum going, I wouldn't bet on them again.
Tampa and the Panthers are a different story, there may be some value betting on them at some point if the line is right, since they probably will be under dogs in a lot of games left in the year.
Obviously I'm just spit balling here, but for sure you should be careful before throwing your money away on the Saints and Falcons. They are a combined 4 W and 11 L against the spread when playing a non nfc south team.