I have ONE last hot idea.. but it is dependent on whether you have got this feature enabled in your OS or not...or even if your OS version supports it. I am on WIndows 10 Home Creators edition, can't remember what other OS's had it natively.
Go into your documents folder where your saves are so that you can just see the saves folder
On mine its in: C:\Users\me\Documents\BioWare\Mass Effect Andromeda
So in there you should be able to see Saves, Screenshots and Temp
Right Click on Saves and then select Properties...
On the properties window for 'Saves', see if you have a previous versions tab. click on it if you do.
In the folder versions part of the 'previous versions' window, you should see if you are lucky (and i stress lucky) any previous version saves of that folder.
YOu can then use the OPEN button to look at your previous Saves folder if you had one.
TRY THAT. FINGERS CROSSED FOR YOU!