Garthanos
Arcadian Knight
Lunging Attack I think can be balanced around maneuvering attack...
one might even give the to hit a bonus based the tertiary attribute (Int/Wis/Cha) but 5e likes damage more than adjusting that. The problem with mental attributes on maneuvers might be poachability.
The above inspired in part by @XeviatPerhaps not coincidentally we already have... Maneuvering Attack
note the balance difference with maneuvering attack you are guaranteed the benefit of the CS die where as if the bonus CS die is at the end of subsequent movement you are not. Such a charge maneuver is technically weaker than Maneuvering Attack. (I think it needs about a 1/2 more CS daka like a bonus based on a secondary or tertiary attribute)
Additionally since such a Lunging Attack since it affects only self logically is less valuable in terms of situational frequency to Maneuvering attack. In other words we can make it like Maneuvering attack a lot like you suggest but we need a small damage bonus and to realize its value will still come up less frequently; unless perhaps you are the only combatant in the party that gets out of reach... hmmm bet not though.
Someone might end up using a Lunging Attack on an occasion when they would have otherwise gotten an attack but find that the small amount more now taking the enemy down faster (just one CS die and maybe half again more) .
The blocking opportunity attacks on the move actually makes this flavor well as the Destreza Lunge from classic fencing.
one might even give the to hit a bonus based the tertiary attribute (Int/Wis/Cha) but 5e likes damage more than adjusting that. The problem with mental attributes on maneuvers might be poachability.