Don't think there would have been a way for there to be only 1 game Sunday. Vegas/Dallas would have had to play before us either way.
We are playing a team in the pacific time zone so this will likely exist in the next round too unless the predators comeback (Could also be worse, Nashville has to watch these games at 9:20 PM).
Assuming we take care of business, there are only 4 series in total at that point so hopefully we'd be less likely to be stuck with 8:30 and might even get a couple 7:30 starts (or possibly earlier on weekends).
For example, the Calgary series two years ago we had three 7:30 starts, one 6:00 start and for some strange reason one 8:30 start, but that was on a Friday night and some reason they wanted Rangers/Canes to start later.
Last year vs. Vegas none of the starts were later than 8:00 and we even had a 7:30, 6:30 and 5:00 start in there.
I've learned to accept 8:00 is just what we have to deal with for the first round or two, but 8:30 with prolonged intros pushing puck drop to 8:52 is complete nonsense.