How to drive 32-by-32 (or more) LED matrix?
I have 2 recommendations for you:

1) You could wire the matrix to four of the 16x16 drivers and use and MCU (AVR or PIC) programmed to handle the output to the matrix in four quarters.

2) since you do not require greyscale, you could use shift registers, which come in a variety of output configurations, the most effective (well... cheap) way to accomplish your goal with these would be to use 8 8ch or 4 16ch SIPO (serial in parallel out) shift registers. if you have a limited number of IO pins on your MCU, then you can daisy-chain the shift registers with not too much trouble in the code and 1 more shift register.