Thank you for the kind words Powertrip! I am very happy with how this project is going. Recapping the analog board was an extremely tricky and nerve-wracking endeavor, so I am glad I got that over with. It took seven hours straight (with a few breaks in between to clear my head.)
The ringing sound: It's not the flyback, it is the Horizontal Output Transistor. It squeals very loudly if the screen is not either at full brightness or set very dim. HV regulation still does not seem right either - the picture changes size whenever bright objects are shown on the screen. I am going to try replacing those rectangular blue components next to the HOT, I think I remember reading somewhere that they can cause HV regulation issues. I believe they are capacitors too? (just not electrolytic) Also, there is a Rifa capacitor on the power supply side of the analog board that is cracked. I will be replacing that very soon.
Techknight, if you could chime in, I would highly appreciate it. I need your expertise.
If I can solve the HV/squealing issue, all that will be left to do will be to recap the CD-ROM, Floppy, Mouse, and Keyboard. Then I will finally be all done!