Well, I got all those SOT-23's off, and I think at least a couple were broken, but I may have broke a couple more just trying to remove them. I tried to start the meter up once they were off, but it seems to be totally dead now.
Those SOT-23's were so small and cooked I couldn't read the numbers on them to find replacements for them, and I have no idea if they're all just transistors, or voltage regulators, etc.. so until I can find that out, it looks pretty much like I'm out of luck for now. As far as I know there's not a schematic to be able to easily figure that out either. Thanks for the help though guys. I do appreciate it.