I'm trying to find the mechanics for a running tackle / charging attack, but can't seem to find one in the PHB or the DMG.
I'm looking for something that allows players to run towards a creature and use their momentum to knock it prone (or push it back) and maybe even deal a little bit of damage.
Simply put: How can a player character clothesline another creature?
I know that there is a Feat called Charger:
Charger: When you use your action to Dash, you can use a bonus action to make one melee weapon attack or to shove a creature. If you move at least 10 feet in a straight line immediately before taking this bonus action, you either gain a +5 bonus to the attack’s damage roll (if you chose to make a melee attack and hit) or push the target up to 10 feet away from you (if you chose to shove and you succeed).
However, Charger requires a Feat, making it pretty hard to obtain.
Move + Shove
I also know that players can just use their regular movement coupled with the Shove action. But that seems rather anticlimactic because the Movement and Shove action are completely independent from each other. In other words, the player's running momentum is completely decoupled from the shove and gives them no advantage.
Am I missing something obvious from the rules or does this mechanic just not exist?