Yeah, when I posted earlier I was at work and didn't think things through.
Now: Draft all players who played in 2022
Around November 1: short free agency period that would last around 2 weeks.
Around November 15: make lineups and game planning
Around November 20: Start simulations, 3 per week, based on 2022 NFL season
Around January 10: 2022 Simulation season ends, start 2023 rookie draft
Around January 20: Accelerated free agency
Around February 15: should be caught up with other leagues