I would first try searching through Tanach for some precedent of waking up early, before it is time for davening, in order to watch a mischak, a sport. And the obvious precedent is the Leviathan. As we know, Hashem created the Leviathan to play/sport with, as we read in Tehillim 104:
|כו שָׁם, אֳנִיּוֹת יְהַלֵּכוּן; לִוְיָתָן, זֶה-יָצַרְתָּ לְשַׂחֶק-בּוֹ.|| 26 There go the ships; there is leviathan, whom Thou hast formed to sport therein.|
Indeed, the Talmud tells us that part of the reward for the righteous will be to see gladiatorial combat between the Behemoth and Leviathan, after which they will partake in a meal of the Leviathan. So the Leviathan is a form of entertainment and sport.
May one wake up the Leviathan early in the morning, before twilight? We have precedent for that as well, as we see in Iyyov 3:
It is obviously possible to treat this question more seriously, but I'm not in the mood to do so right now.