Should be OK with those leds. The chip's outputs are constant current, so will adapt themselves to the forward voltage of each led. You can even program in fine adjustments to the current for each channel of an RGB led, so you can get white to appear perfect and all the leds at equal brightness.
However, as already stated above, the chip is only available in a very small package so you would need access to specialist equipment to work with it.
Maybe you should consider using apa102 leds for your project. Each led has a built in controller chip and a high speed SPI interface and high frequency PWM making them suitable for POV displays. The come in standard 5050 size smd and strips of up to 144 leds per metre and you can daisy-chain them together.