The DAQPad-6016 is only supported by NI-DAQmx and you need LV 7.0 or later to use NI-DAQmx, so this is a difficult situation. We have developed "Traditional NI-DAQ Compatibility VI's" which allow you to run LabVIEW applications written in Traditional NI-DAQ on devices that are only supported by NI-DAQmx. But this VI's need LV 7.0 or later too. So the only way I see is to upgrade to LV 7.1 if you want to use the DAQPad-6016.
You should be able to use LabVIEW 7.0 with DAQmx and the DAQPad-6016. However you need to make sure you are using DAQmx 7.3 or later. The 6016 was not supported before version 7.3. You can download a newer DAQmx driver from the www.ni.com website and then click on Drivers and Updates on the right side of the page. The readme for DAQmx 7.3 can be viewed at the link below to view what this driver supports. You will see that it supports LabVIEW 7.x and the DAQPad-6016.