Spirit tadarus Al-Quran together will surely be better than waking up alone. At a minimum you would not easily sleepy. Ba'da Shubuh now is the right moment to tadarusan together. If you are usually difficult to refrain from drowsiness after the Suhoor, tadarus Al-Quran at mosque after prayers can be a surefire solution.
If it turns out kegiatanmu is pretty solid and had to be started since dawn, you can tadarus this joint activities scheduled in the afternoon ahead of the fast. Ngabuburit moment you surely would be worth a lot more reward.
Aneuk shaleh