it is made to be read in parallel to utilize the full update rate, you would need your shift register running at 300Mhz to run that into a serial interface and that starts edging into RF black magic territory,
as far as how the chip goes, the offset and gain specs are horribly, 3.5% of full scale range gain error means your 3V just became 2.9 - 3.1V for a 3V supply,