@GM4Him same. I like the concept of throwing; after all throwing halflings and/or goblins is a time-honored tradition in 5e. It's just the implementation that is poop.
What I don't like is Shove = Bonus so Throw and Shove can occur in one turn AND the distances are ridiculous. You shouldn't ever shove or throw a creature 30 feet.
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I was thinking something like Shove/Throw Range = Athletics + 5 feet and requires an Athletics vs. Athletics/Acrobatics roll to successfully just shove or throw. To throw into another target, a Ranged Attack roll. Max range = Strength Score. Anything above normal range requires disadvantage to attempt to throw one into another.
Example: Dorn has Strength 15, Athletics +4. He can shove/throw 9 feet. If he does either, opposed roll is made. If he throws one enemy into another, Ranged Attack must be also made. If target of throw is 10-15 feet away, he can still throw one goblin into another, but he has to make the Ranged Attack against the AC of the Target, and he gets disadvantage because it's beyond normal range.
This would be relatively balanced and reasonable. Importantly, 2 rolls are required to 1.) Shove/Throw the enemy and 2.) hit another enemy with them.
Although at this point, what is the point of Shove if Throw is just strictly better? Shove only moves an enemy, while throw does damage to them and possibly an additional enemy! Seems like throw should be harder/cost more/have less distance...
Edit: you gave a possible answer to this in your edit. I might argue for "Proficiency in Athletics" instead/in addition.
