Imo, there's 2 options:
Revanchist time: You have thousands of Jedi running around. And two factions players can join. And if you place it later, in the Jedi Civil War, you have Sith vs. Jedi. Take Sith missions from Revan, council mission from Kavar...it fits.
X years after Kotor 2. There's nothing there, so you could fill it like Jedi Academy did: Quick training of adults, since there's almost no Jedi left. This would also explain the mass overflow of Jedi, because let's face it: Everyone will play a Jedi.
*cough* Jedipokesaberzor1994* would liked to duel you *cough*