They certainly can name their new price due to urgency but struggles is a bit of an overstretch. They certainly know where they live. A knock at the door with flowers and a big bonus check will do.
They literally do not have contact information after they deleted the .gov email addresses
Edit: and they cant "name their price" because unlike the private sector there is legally mandated pay scale. Which is just another reason why firing g-men to save money makes no sense