So I had an extreme crash of my Hard Drive Docking Bay taking out my collection of about 3TB on a 4TB drive, 3TB on a 4TB drive and 2TB on my new 8TB drive. As I reformatted them again [...]
Er... How to words this ?
If you have a flat tire, do you change your car, or do you just change the tire ?
Please tell me I can get this fixed without reformatting my PC (I have tons of programs I don't want to reinstall).
You don't have to reformat your PC. And I don't say this just to reassure you, it's the truth, you don't have to do this, it's not how you fix what clearly seem to be a broken docking bay.
I would appreciate if someone could walk me through a fix on this.
It's just a guess based on what you said, but apparently fixing your issue is really simple: Buy a new docking bay, and take some basic (online) courses regarding computers.
That one hard drive fail, it happen ; it's rarely as sudden as you depict it, but it happen. But that three hard drives fail at the same time, no, just no. In this case there's 99,99% chances that it's not the hard drives, but the hardware (here the docking bay).
Accordingly to what you said, the problem is, as you said it but apparently without understanding what it mean, your docking bay that crashed. Plugging the drives directly would have permit you to confirm/infirm this.
This mean that you had absolutely no reason to format the said hard drives. And it also mean that transferring the files to smaller drives was totally useless. There's high chance that 99% of the data were perfectly sane (the 1% being the files saved after the failure started) on the three hard drives. But by transferring them, what you did is taking sane data, have them corrupted by the failing docking bay, and then save those corrupted data on smaller drives ; possibly corrupting them once again if the said drives where plugged to the said docking bay.
And like you said that you formatted the bigger drives, the only thing you now have is corrupted files.
Also, when a software clearly tell you, "hey, the data you are giving me are corrupted", why do you believe that it's the software that is in cause ? If your car tell you that there's no more gas, you don't change the car, you fill the tank.
Obviously reinstalling 7Zip, switching to the 64 bits version (that you should have used from the starts) and using another software will not magically repair the data. They are corrupted, and since this corruption is apparently due to the failing docking bay, there's near to no way to repair them.
This being said, you said that you formatted the hard drive, but talk about ChkDsk, that do not format drives. So there's still some chances that the original data are patiently waiting you in the bigger hard drives, and that you can still access them once you'll have a not broken docking bay.
But seriously, take some basic computer courses. The fact that you believed that 7Zip was in fault because it told you that the data where corrupted will haunt me for days.