Progress report:
After a while of trying to make my own ring modulator, I gave up as I didn't have any of the correct parts; it would also be more economical to buy a commercial one instead of buying the parts I needed.
So instead of using a ring modulator, I decided to use a 6BE6 tube for mixing as I happened to have some extra after my tube transceiver project. It worked very very well at audio frequencies, but the higher the frequencies got, the worse the tube performed. This was likely me setting up the tube improperly, but I just really didn't want to deal with it anymore as it was getting hot and deforming the plastic on my breadboard.
So I gave in and bought a ring modulator from Digikey. After the parts arrived, I swiftly assembled a very crude prototype/proof that I could solder a piece of metal to another piece of metal.
The thing has no detector or log amplifier. It has no good way to adjust the center frequency nor the frequency span. But it works. All it has is a mixer, a crystal filter, and a very bad and not very reliable VCO. The VCO issue is just me using a very scratchy trimmer pot for R1 I pulled out of some random board. I am probably going to just buy some VCO off ebay instead to ration my sanity well.
Here is a video of me stuttering a lot while struggling to speak normally:
https://youtu.be/8rkVdlCWSvII have chosen to not use the 5110 anymore, and opt to use my 7613. It is variable persistence storage which makes it an excellent display unit for a spectrum analyzer. The downside is that it will take more effort to properly fabricate a plug-in module for it as it uses that special alignment plastic bit on the rear of the plug-ins, non-similar to the 5000 series or 500 series where they don't require such things.
I also somehow managed to pass chemistry with an A, if anyone was curious.