Can you create and schedule a request set with two concurrent programs with date parameters and leav

We have a request to build a new request set.  The plan is to schedule it to run for a span of 10 days each month.  It will be scheduled each month after the determination is made that the data is ready.  The request set will have two concurrent programs in it. The first concurrent program has a date parameter that will be entered, and should not change for the duration of the 10-day scheduled run.  The second concurrent program has a date parameter that should increment each day and reflect the system date.  We are struggling with how to