There are two parts in your request.
One part is the execution of this setup, but the most important part is the logic. How would the tiles fit next to each other?
You need to be able to explain how that logic would work by making some sample manual setups and writing an overview of what you want it to do.
If you provide a scene file with some examples and write an explanation of the logic, I will give it a show and maybe make a tutorial.

@Lnrd_ said

...I need to be able to rotate the independent geometries while keeping the IK.

I'm not sure I understand that.

Have you watched this tutorial?
https://cineversity.maxon.net/en/tutorials/kinematic-limits-how-to-rig-robots

so, this was harder than I thought... maybe there's a simpler way but I need tome to think about it.

The general idea is to cache the RBDs (balloons) and the particles to separate Alembic files, use the particle alembic ONLY ON FRAME 1 to clone the Splines and make them Ropes and add a Connector Tag, NOT a Rope Belt.
Put the Balloon Alembics into a Connect Object and make it a cloth with Mix Animation 100%.
Make the Rope Spline Connector Tag search until the ropes find the Balloons.

Here's the final file and the RBD alembic:
https://www.dropbox.com/scl/fi/hug88hs5ubq3rwdqa2m0b/balloons-final-with-Strings-01A.c4d?rlkey=5274a024islzj8sc7smkmrukg&dl=0

https://www.dropbox.com/scl/fi/7x7y1dk862azezkskbl72/balloons-final_Rigid-Body_v0.abc?rlkey=za6mv95rnkosv9zxxpyqu18bv&dl=0

requested access for your project file...

here's the latest build:
https://www.dropbox.com/scl/fi/psnk4v0ng5ukhsfpplkxg/Py-ParametricTools.zip?rlkey=loi7f8x2x5ldljwmfqy4e6s1h&dl=0

can you please create a very simple scene 3-4 balloons (Spheres) and show me what you're trying to do and show me "The strings weren‘t behaving properly within the cloner"...
thanks

@cookie-assignment
Please report these to Customer Support.

You can use a Spline with 16x9 size as a child of your camera. Just move it slightly in front of the camera
https://www.dropbox.com/scl/fi/w1p5amtw305bhu4onyyud/Camera-Guide-16-9.c4d?rlkey=uli89elde1h3o5geob5bswfsy&st=1uwr1m13&dl=0

You can post a link to the file and also I need to know how you want to animate it.
"the rotations be free"... I don't know what that means.

Also watch this:
https://cineversity.maxon.net/en/tutorials/kinematic-limits-how-to-rig-robots