I would use a tool like
GPU-Z to get a more accurate idea of your VRAM (GPU RAM) usage. The number that iClone gives is not always accurate.
I have found, for example, that if I use Photo Shop besides iClone, additional VRAM is being used. Likewise with Character Creator.
VRAM is the most important factor because textures are getting larger and larger. The 2000 series doesn't have specific advantages for iClone as it RTX is not being used. It is unfortunate that the 3000 series is hard to get because of the larger VRAM amount on the top models.
I currently have a 1080Ti with 11GB VRAM and I also run into limitations, so I would like to upgrade.
What I have been doing is optimizing texture size use. There is no need for everything to be 4k. When exporting a character from CC, I use 2k for the face and important parts with fine details and 1k for less important parts.
Another thing to look at is how much free space there is on your system drive (C: usually). iClone writes temporary files for crash recovery and the drive is also used for virtual memory. Sufficient virtual memory helps system stability.