{{DotJDate}}: To be updated after review/rewriting of Force Wars.
Del Rey's Legends Novels Timeline place the event of Dawn of the Jedi: Into the Void to c. 25,793 BBY. The last chapter of the novel see Lanoree Brock and Dam-Powl in Anil Kesh, discussing Brock's recent mission and the absence of Master Quan-Jang, which was related to the arrival of an unknown statship in the Tython system that crashed close to the Rift and the Abyss of Ruh right after a Force perturbation started creating Force Storms on the planet. Those mentioned events are depicted in details starting Dawn of the Jedi: Force Storm 2 of the Star Wars: Dawn of the Jedi comic series, clearly establishing that most of the comics series happened after the novel.
In an interview with CBR, the writer of Star Wars: Dawn of the Jedi, John Ostrander, explained that "[...] the series really gets going with events just prior to the Force Wars, which began in 25,793 BBY." This date is confirmed by SWTOR.com timeline, meaning that the events of Star Wars: Dawn of the Jedi, from the second issue to the last, which stop sometimes before the Force Wars started, cannot have occurred after 25,793 BBY. Given this time frame, it's safe to assume that most of Star Wars: Dawn of the Jedi happened c. 25,793 BBY.
Imp's proposal:
The ending of Dawn of the Jedi: Into the Void is set concurrently with the events depicted in Dawn of the Jedi: Force Storm 2. Since the Star Wars Legends Novels Timeline dates Into the Void to approximately 25,793 BBY, the events of Force Storm 2, as well as the events of the rest of the Force Storm story arc that take place shortly thereafter, can also be placed around that date.