Well, I went in last evening to see an Apple Genius, and she thought it was going to be a quick fix. She was able to get it linked in to iTunes, and then she tried to do the iOS 9 upgrade herself with it. I was really hoping for the best, but it turns out after she was done with it, it got stuck in the same loop that I was previously in ( enter the 4 digit passcode, the build line goes to about a 5th of the way, then slide to upgrade comes into view, you slide it, then it asks for the 4 digit passcode again, and on and on.... )
I was bummin' big time, but then she went to make a call, came back and said I would be getting a new unit for free. She then looked on her device for a match unit ( White iPad 3 Retina, 32 GB, 4G AT&T unit ), and luckily there was only ONE UNIT LEFT! So, she asked if I wanted it upgraded to iOS 9 before I took it home. I paused for a moment and then thought it would be better for me if she upgraded it at the store, thinking that it would really suck if I took it home and bricked it myself, again!
So, after about another 20 minutes, the new unit took the iOS 9 upgrade, I signed in ( without the 4 digit passcode this time ) and completed the setup. I did lose a bunch of information in a few apps that I will never get back ( animations in Animation Creation, some photos and videos that I never got the chance to back up, and a bunch of notes in my Note app ). But at least I was able to recover most of my old apps that I still wanted that I recovered from The app Store Cloud, and gained a few new good apps that I wouldn't been able to get for free on my old one ( GarageBand, Keynote, Numbers, Pages ). So, it all worked out pretty well. I'm sure at some point I'll remember a few things that I lost off my old iPad, but I'll try not to think of those. At least now I have a new iPad 3 Retina 32 GB 4G unit running iOS 9. And now I am able to save any of my Xcode apps to my iPad with the new upgrade of Xcode 7.0, without having to renew my Apple Developer Membership first. Sweet!
Anythings, thanks for all your input.