My 7a is having horrible battery life as well (drops ~25% overnight doing "nothing"). I'm on airplane mode+wifi 95% of the time, too. The 6a I have, setup pretty much identically (same apps running in the background, airplane mode+wifi) gets amazing battery life (drops maybe 5% at night). On the 7a, for whatever reason, "Mobile Network" is still consuming 10-20% overnight, even in airplane mode. I'm still trying to narrow it down to try to figure out why.
Is there a different wifi chip on the 7a vs. 6a? What else changed from the 6a to the 7a that could be a cause I could try to eliminate?