If you have an account the whole process takes 2-3 hours (invovles giving them a call and sorting out everything in the call itself - just have your MVPA with VIN ready to be emailed to them). If you dont have an account, it might take bit longer (maybe) not sure - I have banked with them for 15+ years and had multiple loans with them, so quite familiar with the process to be comfortable to go with them.
I was pre-approved for the loan, and I had applied in mid September (close to my prior EDD - foolish me!!!) - was really hoping the EDD didn't shift again since their approval is valid for 45 days. Honestly, I would say apply immediately after you get your VIN, upon approval DCU overnights the check anyways so max the whole process will take 3-5 days and you will have time upon receiving VIN to get all this squared away.