I have the same case been using it for about 5 years. I have only WD drives in there and it doesn't vibrate at all whatsoever. Almost all of the drives are shucked and there are 14.
So many of us use rosewill. Are you using the one that fits the 15 drives. I got that one years ago for about $130 off of Newegg but at one point there were as low as $80 right before the pandemic. Last I looked they were over 200.
I have computers that I've had the same copy of Windows on it for 5 years and never had a problem. This really sounds like a hardware problem to me. Possibly a ram issue that only pops its head up rarely. I actually own a computer repair store so I have had experience with some of this.
I own a computer repair business and unfortunately you probably damaged the hard drive and not the case. Literally just had to tell a customer this same thing yesterday and all they did was just tip over the drive didn't fall or anything. I've seen this numerous times and have even done it myself but fortunately had no important data on the drive that broke. Anyone local unless you're in a big city won't be able to take care of that for you you will have to send it in the mail to somebody. I know that prices can vary wildly but expect at least $120 an hour for a process that may take 10 to 15 hours. That will be your only chance to recover your data. There's a company called Drive savers that I have heard of but have no experience with. You are able to call them and supposedly they will give you a free quote and then you mail your hard drive to them and they don't charge you if they can't fix it. You can start there at least you'll have an idea of what you're dealing with.