You might want try other laminates or are you sure it is not the heat and dwell time that is causing this shift?
I use heat set laminate applied with a heated roll laminated and have never seen any color shifts, only more brilliance in colors which I have never had a issue with profiling.
What ink are you using? I have seen comments in the past about problems with Epson ink under heat, but asked a Epson tech this once and he claimed it should not be a problem. I use Canon ink on canvas.
Doyle