It should also be much harder to push people off ledges. The cartoony shoving and flying was funny at first but now it's just annoying.
I want more realistic shoving where the distance is much shorter and limited by Strength. Shoving anyone more than 5 feet should require 20+ Strength. Ogres and bigger should just fall prone.
I have a novel idea...
How about they use the 5e Core rules for shoving!
SHOVING A CREATURE
Using the Attack action, you can make a special melee
attack to shove a creature, either to knock it prone or
push it away from you. If you're able to make multiple
attacks with the Attack action, this attack replaces
one of them.
The target of your shove must be no more than one
size larger than you, and it must be within your reach.
You make a Strength (Athletics) check contested by the
target's Strength (Athletics) or Dexterity (Acrobatics)
check (the target chooses the ability to use). If you win
the contest, you either knock the target prone or push
it 5 feet away from you.