Hello,
Because the DAQPad-6020E does not have hardware timed DIO, you will be forced to output software timed digital data. Are you using LabVIEW 7.1? If so, one approach would be to generate an output counter pulse and use that to time a Timed Loop in LabVIEW. That way, for every output pulse of the counter, the timed loop would iterate. If you place your digital write VIs in that loop, you will output a digital value for every rising/falling edge of the counter output.
Does this answer your question? If not, please give a little more detail about the Universal Shift Register IC and what it would require from your DO lines.
Regards,
Sean C.