A hot gas path cooling system (10) for a combustor of a gas turbine engine, whereby the cooling system (10) is positioned within a combustor basket (18) is disclosed. The cooling system (10) may include a platefin cooling system (24) formed from a platefin member (26) positioned radially inward from an outer wall (28) forming a combustor basket (18). At least first and second cooling circuits (34, 36) may be formed between the platefin member (26) and the combustor basket (18) and may be separated from each other by a first rib section (38). The second cooling circuit (36), thus, may be positioned downstream from the first cooling circuit (34) and may receive fresh cooling fluid through one or more inlets (52), not from the first cooling circuit (34). As such, the downstream second cooling circuit (36) may be cooled similarly to the first cooling circuit (34).