And since I am fixated on the 13/16" mounting hole for some LED switches, yet another option for the lighted switch function is to separate the switch and LED. You can buy pre-wired mini toggle switches which typically require mounting hole of 1/4" which I figure might be the most common drill bit size in the world?! Likewise you can buy pre-wired 12V DC LEDs so, to your earlier point, you don't have to fuss with resistors. There are a wide variety of mounting bezels for LEDs to clean up the presentation if need be.
So the idea is to replace the relatively large automotive LED switch with a generic unlit toggle switch and a separate 12V LED. Same 12V relays are used. This requires 2 "smaller" mounting holes instead of 1 "larger" hole but may provide more flexibility in the control panel layout ... and still not qualify for Amazon $25 free shipping.