Who developed the concept of ICE tables?
As expected the concept of equilibrium calculations is more than a century old idea. The algebra has not changed. Check internet archives for classical general chemistry textbooks to see how equilibrium calculations were done in 60s-70s. If you are specifically looking for the representation of "initial, change, equilibrium" tables, this is also four decades old. Books from the early 80s used this approach. See for example "Chemistry with inorganic qualitative analysis" by Thenard (1980). These days everyone likes to coin fancy acronyms and words. Gold colloids became gold nanoparticles, and "initial, change, equilibrium" became ICE!