Again, just to point out the extreme unlikelihood of getting even a 7th round pick, this statement is key (from the best projection guy there is, as mentioned above)/
No team has been awarded a comp pick after signing more qualifying free agents than it lost, no matter how significant the difference in combined value.
Last year we signed more than we lost. So again, it is extremely unlikely that the Saints will receive a pick. Stranger things have happened, but don't hold your breath too long.