meditating while sleep deprived. i personally wouldn't recommend it, because the mind is very hazy and disoriented at that point in time (at least for me) which makes it difficult to even begin with solid concentration, and if you're constantly fighting to stay focused and centered amidst that mental fogginess, the meditation never began.
I would say, be well rested, do not make your meditation scheduled and dogmatic. this will lead to clinging of results, which will block you from enter the more profoud layers of awareness. maybe investigate the subtle aspects of your diet and how they affect energy/wakefulness. also, try and free up a little time on your schedule. You could always fit small meditation sessions into the spare free moments, and if you have a day where you are free, try and use these days to go hiking or maybe camping for a day/night. this way you have daily practice, but you could do a one day a week intensive.
the lack of space in modern mans schedule is in my opinion the justification for renunciation. The Dhamma is a meditative path. The training involves prolonged devotional meditation, daily. The householder life in this day and age does not align with this. In Buddhas time, householders could practice the dhamma because of the lack of modern industrialization and commercialization. They usually lived simple quiet lives and had the time and a good environment to develop deep penetrating insight. Our modern culture is one big distraction. Social media, entertainment, news, sports. All of this is sensual pleasure. Yes we can practice mindfulness, but we should keep in mind that in the eightfold path there is "right mindfulness" and "right meditation"
I personally believe the original sangha, the nomadic/homeless sangha needs to be revitalized.