Level Up's Ranger is non-magical. And Pathfinder 1st edition does have a non-magical archetype known as the Skirmisher. It replaced spellcasting with Hunter's Tricks.
Hehe. I found a YouTube clip on the Stoneborn. It's a short clip, a little over 2 minutes in length. The author in this clip talks about their lore. :D
Edit: They do have tails and the females do have wings.
Here are a trio of Stoneborn Gargoyles pictures from the World of Warcraft MMORPG:
They almost look like the Gargoyles from the 90's TV series. :) They just need a noticeable tail. And in the case of the female Stoneborn (who is standing in the foreground in the third pic), wings. :p...
In the World of Warcraft MMORPG, some Gargoyles were called the Stoneborn. So, if a name change is needed for the gargoyles, here's a name that they could be called and still stick with @Shades of Eternity 's ideas for the species.
https://wowpedia.fandom.com/wiki/Stoneborn
It is quite possible to have a setting where these Gargoyles exist, and the canonical version doesn't exist. The OP is following the trope, "Our Gargoyles Are Different." ;)
One problem with creating an ecology for a particular monster is how often you would have to update it every time a 3pp or WoTC introduced a new monster in their latest 5e supplement. :p
Somehow, I can see a wizard polymorphing themselves into a gargoyle in order to learn what tastes like what here. :p If treasure is like candy to a gargoyle, what does a magic item taste like?
If your Gargoyles were introduced into the Forgotten Realms setting, how would they be viewed by the PHB species and how would they view the PHB species in turn? :)
If WoTC intends to bring back the Dark Sun setting for 5e, I hope they mention how the Halflings of the Blue Age used the magic of the Pristine Tower and the Dark Lens to become the humanoid species of Athas' Green Age.