Just thought I'd share this if anyone else runs into this issue. Before I really dug into troubleshooting, there were some additional capacitors in the main signal path that I could replace. I hadn't done them because they were hard to get at. They were C401, C402, C403, C405 and C407. They are on the ENE-053-3 board. I had to remove the front face, the eq board and assembly, volume knob, etc to get at these. Also, these 5 capacitors (as well as a few I didn't replace on that board) are special "shorties". Normal size capacitors might not fit. I got around this by leaving extra wire length and bending them sideways. This seems to have fixed the balance issue! I also hit the balance knob with some deoxit for good measure since I hadn't done that yet. If there is a difference between the two sides now, it's so small I can't really notice it now (with my ears or visually on the meter).
I also replaced C345 and C346 on the board that runs along the side. I'm not sure if those would have anything to do with this issue but they were easy to get at. The phono preamp circuit is over on that board, too, and it's located right near the very large heat sink in this unit. I haven't really tested out the phono input yet. But I would not be surprised if I had to replace those due to being near that heat all these years.