The Grappled condition states (from the point of view of the grappler):
Moving a Grappled Creature: When you move, you can drag or carry the Grappled creature with you, but your speed is halved, unless the creature is two or more sizes smaller than you.
I have no issue with the dragging portion of moving with a grappled creature but when carrying the creature where does it find itself on the end of your turn?
Can the grappling PC place the carried target down into whichever square in range they choose?
I have some issues with that, namely the ability to pass the grappled creature into a hazard with no difficulty. Imagine moving to the edge of a cliff and simply holding the grappled creature over the edge and then releasing the grapple. It seems too simple.
Other options include holding them in a fire, dropping them into a known trap, etc or simply stating that you've lifted the grappled creature over your head and placed them down on the other side of you so your allies can attack it.
None of this seems right to me but I find anything to explicitly state how to handle carrying a grappled creature.
I'm really looking for solutions that are supported by the core books if any exist but am also open to tested solutions that people have used in their games to address this.
Medix's comment below has three related questions that offer various solutions and third one matches my initial thoughts: How does moving a grappled creature work?