Saints should go after Brandon Aiyuk, Evan Engram, or Brandin Cooks

Good idea.

Now let us know what do you think will be the compensation of either of these players, and how can you think we can adjust the cap to accomodate their contracts for this and consequent years.
Ingram was making $2.5 million. More than Aiyuk's cap number.

As for Cooks:



And for Engram, it would either be an extension or adding voidable years.

As the Saints have proven many times, there are plenty of ways to work it. Nothing is impossible if your motivation is high enough to kick the can.