Tried:
- Going down to about 1.55k ohms on the voltage dividers by tripling up the 4.7k resistors (my PCB is a work of art, I tell ya).

Result:
- Pops are almost completely gone. Down to about one pop per song.
- I'm not noticing any unusual heat from the SA7705H or the WT32i.

To do:
- Order a passel of 1.5k resistors.
- Run it this way for a week or so to see if the empeg fries.
- Decide if that's enough, or if I still need a board redesign, too. Keeping in mind that the pops are not noticeable when the music is loud, they are only noticeable in the quiet passages and only if the headunit stereo volume is turned up to a decent amount.