does anyone know any tips for getting a game back and running quickly after an OOS?
Depends what caused the sync issue. If it is caused by a player changing leaders, you can save game, exit, load saved game and re-launch, for example.
If it is caused by a bugged unit (buff, debuff or other issue) it may be possible to use world builder, remove the bugged issue, and similarly re-launch. This can often require substantial investigation, however, and have no absolute chance of success.