Chris.
Using a spreadsheet to calculate the increase in stage is one way to do it. As you comment, it takes some time and may not be faster than doing it manually.
The DAMBRK model from National Weather Service (now obsolete?) automatically generated a table of flood wave arrival times.
Would have been nice if HEC-RAS had the possibility to tabulate a time-(user defined) event relationship for all cross sections, for example at what time the water level has increased by 1 ft, or the flow reaces a certain level.
Thanks,
Marulke