Hello;
I'm attaching a very good Application Note which states how to do synchronization by using the RTSI bus. Moreover, there is an example on generating a delayed pulse with the counter. You can use the example and change that to work with the 6602 of yours.
You will need to set up a retriggerable application with your counter, so at each pulse of interest you will trigger of the time counting.
AO Start only starts of the generation of the output values, there aren't iterations on AO Start. You need to figure out exactly which pulse of your Analog Output will trigger of the time counting, and then, use the Route.vi to route that signal, trough the RTSI bus, to the counter trigger pin.
I'm also attaching a retriggerable pulse generation example v
i to this answer. You can use the idea of the retrigger and change that VI to count time based upon those triggers.
Hope this helps.
Filipe