Note, CPK
(for Corey–Pauling–Koltun) is a colour scheme, i.e., a convention to symbolize atoms of carbon in black, oxygen in red, nitrogen in blue, etc. which took inspiration on the colour scheme in the wired models by Dreiding. Wikipedia cites Chemical News
"Hofmann, at a lecture given at the Royal Institution in April 1865 made use of croquet balls of different colours to represent various kinds of atoms (e.g. carbon black, hydrogen white, chlorine green, 'fiery' oxygen red, nitrogen blue)."
From your description, I assume instead of a kit for ball-stick models, you seek one which is instead is spacefilling. If we assume atoms as spheres, then sections of spheres are called calotte, the same term used in architecture and about the skullcap. On occasion you see them (e.g., ebay), smaller ones still commercialized:
(image credit: Aug. Hedinger GmbH & Co. KG, Stuttgart/Germany)
The set depicted (55 atoms made of a polymer, 30 struts, and a tool to loose the struts) is sold for EUR 32.50 (plus taxes and shipping).
Larger in dimension (intended for demonstration in a lecture) are the ones by VSN:
(image credit VSN).
made of wood (Hofman like), with spheres of 3.5 cm (H), 6 cm (C, N, O), or 8 cm (Cl, S) in diameter. You purchase per atom.
If you don't want to disassemble them, these models may be printed in 3D, too:
(image credit: shapeways.com)
I have no affiliation with either corporation.