My real question at this point is why people think it would be beneficial to try to mess with the analog signals. I understand that it's possible, but I truly doubt I'd be able to get it to read with the 0.1gram precision that it can right now, which is really important. All the information was great though, I really appreciate the responses and I learned a lot. The only thing that I'm stuck on now is how to solder wires to the board when there aren't any holes predrilled in it and the wires are about a half millimeter apart from each other.
If anyone has any guidance on that I'm ready to go for it. I'm taking the display-hack route. Going to attempt to read the information after it passes through the blob and before it reaches the display (unless someone explains explicitly why that's stupid, but from the responses I feel like that's the way to go).
Thanks again to everyone, I wouldn't feel comfortable finishing this project without you.
If anyone has any last minute ideas on how to get those wires connected, please let me know.