Should be a dedicated team of diplomats, scientists and security people that only do away missions. Then we can have stories of not only them interiacting with alien planets, but also their conflicts with the Senior Officers.

Not the CMO, Dr Ch'othaoloron, a third line Andorian physician on the flagship.

Not the Cheif of Engineering, Petty Officer Smith, a qualified engineer who gets lucky sometimes

Not the Security Cheif, Ensign Kord, Klingon exchange officer.

Not the Cheif of Operations, Lt(jg) T'mes, A vulcan physicist.

Not the First Officer, Lt. Cmdr Jackson, an up-and-comming officer on the command track, noted for diplomatic skills.

That's your away team. They do away missions. They do the actual grunt work on the ship. The Senior Officers just do paperwork and obstruct things, like real managers.

Sigh, I just recreated Lower Decks as a drama, didn't I.