TI makes newer drivers specifically for RGB displays. I'd strongly recommend using those instead. Fewer ICs and better correction for the intricacies of full color.
Or make your life much, much easier and just use addressable LEDs (like APA102C/SK9822/HD107). They'll give you excellent performance (very high PWM frequencies on SK9822 and HD107) with minimum effort, since they handle the entire LED driving internally and need only two data pins for the entire array.