*Double post*
So tonight I removed the wiring and the RMC from my TG-16.  I had a hard time believing the region mod chip was at fault so I decided to wire everything back the way it was.  It wasn't easy, but I think it came out pretty nicely;

So I wired everything back to factory default and insert it into the TG-CD docking base.  I flipped both power switches.  Nothing.  Just the same white TV screen.  I check the RCA cables (again) to ensure they are plugged in correctly and are inserted into Video 1.  They are.  I pull out the Keith Courage HUcard and insert another one.  Same result.
I'm baffled.  I don't know what has happened, but it's obviously something I did while trying to mod the console.  It definitely was not the region mod chip at fault.  Old PCB's like this aren't exactly complicated, but I don't know what the issue is.  Visually the MB looks identical to what it looked when I first cracked open the housing.  The fuse is good, capacitors are good.  The only visual difference is some very minor melting (visable in the pic) on the HUcard slot where I came too close with the soldering iron.
As a last ditch effort, I went ahead and soldered the RF shielding back into place.  My thought process being that maybe it provided a GND that I wasn't aware of.  Unfortunately, it didn't help.  The result was still a white TV screen.
For anyone reading this, I would like to state whole heartedly that I do not blame the region mod chip for this failure.  This is obviously a user error (the user being me).  I obviously screwed something up at some point along the way.
I will remove the RF shielding later this weekend and inspection the MB closer.  If anyone has any troubleshooting methods for getting my TG-16 working again I'm all ears.
I may have just killed a TG-16.
*prays to turbo gods for forgiveness*
[EDIT]
BlueBMW, the reason why I mentioned pin 29 earlier was because of this post;
edojapan's TG16 is the first US system I've ever heard of needing the pin 29 grounded on in order for the region switch to work.  I'll be adding a note to the install guide.  Maybe some of the very late (or very early) TG16s were a little different as far as region lockout goes.
Congrats on the great install edojapan!
It's from earlier on in this thread.