Different types of staff meetings have varying goals. The purpose of an informational staff meeting is to disseminate information to the meeting participants. In discussion-oriented staff meetings, participants provide input to solve a problem.
The total driving distance from Salt Lake City, UT to Yellowstone National Park is 367 miles or 591 kilometers.
I'd do Yellowstone, then Grand Tetons and then work my way down to Moab via 191. It's a slower driving route but very scenic. This way you won't have to back track to Salt Lake City. 10 days is going to make for a quick trip but here's an example of what it can look like.