My suggestion would be to offer early mornings in incremental ways.
Like, start off with "Hump Day Sunrises" using Wednesday (or another single day or week) and that way your other day time schedule is not impacted too much. And you don't have to scurry or worry about too much flexibility time-wise.
You could even offer only your regulars a shorter lead time on the HDS availability, depending, obviously, on the time slot being available. Since regulars are already screened.
Used to be more than a few ladies did the above (easier if they don't have kids to get ready for school) and also certainly "First Sunday" mornings and other variants, too.