Just one data point, I know. But since that data point is 100% of me, I'm sticking with it.
https://www.t-nation.com/training/neanderthal-no-more-1
https://www.t-nation.com/training/neanderthal-no-more-2
https://www.t-nation.com/training/neanderthal-no-more-3
https://www.t-nation.com/workouts/neanderthal-no-more-4
https://www.t-nation.com/workouts/neanderthal-no-more-5
http://www.md-health.com/What-Muscles-Do-Push-Ups-Work.html
Planks build core strength and the lower back is part of your core.
I would add squats to the pushup routine (even unweighted). They will develop the quads and glutes somewhat.
Just one data point, I know. But since that data point is 100% of me, I'm sticking with it.