Hello & Welcome to Just Answer,
I hate to be the one to confirm your belief that deleted pictures can not be recovered, but that is true. This is because of the way the camera software works.
As a further reference, I have attached a screen shot of the top of page 58 of the system manual for this unit.
Again, sorry to have to give you this news, but I didn't want you to wait around or try to spend a lot of time looking for a possible way to do this.
Please don't "shoot the messenger" for giving you an accurate & honest answer.
Take Care, Greg A.
I see it has been a few days and I just wanted to follow up to see if you have any more questions concerning this issue or if the issue was resolved.
I look forward to any further questions or results that you may have.
Thanks, ***** *****