There is currently running on the ESPN website a piece by Bill Barnwell rating the desirability of the HC jobs that will be filled after this season. The link is very long, but you can find the article by going a quick Google search or simply going at this time to the ESPN website.
Note that Barnwell assumed nine teams would be looking for a new HC--including teams like New England, Miami and Tennessee that probably won't be as well as Las Vegas. Because there is a paywall, I do not know what the rankings are except the Saints are listed ninth. Strengths for the Saints were ownership and the division. Weaknesses were our roster and salary-cap issues.
I happen to think Barnwell is right about the Saints being the least desirable job. In addition to our salary-cap challenges, we have no quarterback and a team with too few young players who are foundation pieces going forward. I would love to see Mike Vrabel as our next coach. I do not see Vrabel wanting to come to the Saints.