Loomis: Next Saints Head Coach will decide their own staff and direction at Quarterback

You have to be under the cap before June 1st. You also have to sign your rookies. You have to restructure every possible contract, have 0 cap space for the offseason and you still might need extra space from somewhere.

It's not realistic. Just forget it as an option.
The rookies don't have to be signed until June, and the post-June 1 savings can be used to pay for all the in-season cap costs like IR, practice squad, elevations, etc.

It's definitely a possibility, even if it means paying some of Carr's salary (I'm sure paying $5-10m instead of $30m for a guy who won't start will sound good to Benson).