You can definitely use a pulse to trigger an analog acquisition on the 6023E device. I would suggest to look at a LabVIEW shipping example that illustrates how to integrate a digital start trigger for analog aquisition.
The 'Acquire N Scans Digital Trig VI' would be a great place to start. You will just need to add a control/constant to the analog chan & level input of the AI Start VI and enter "RTSI0" into the string of that cluster input. This will set the 6023E to trigger off of RTSI0. So, instead of using the RTSI line in your program for the analog scan clock, you will use the RTSI line as a digital start trigger.
I hope this helps.
Regards,
Todd D.
NI Applications Engineer