Congress doesn't appoint Special Counsel, the DoJ does. And there is absolutely no chance that Pam Bondi would ever consider doing so. Hell, the DNI is a Russian asset. That's not an opinion, that's a proven fact. So Hegseth's transgressions are pretty mild in comparison.

At a minimum, the house dems could introduce articles of impeachment?

The minority party could introduce such a bill to the judiciary committee, but it would die there.

I meant Independent Counsel but I believe that law expired. There was a point where a Judicial panel could appoint one. Hence Ken Starr.