Welcome to Able2Know and thanks for the kind words.
You did a fine job describing your situation, wants and needs.
No surprises with my recommendation:
EcoWater ERR 3500R20 or the higher capacity ERR 3500R30.
The most efficient softener available anywhere.
The system is designed for chlorinated city H2O.
Contact your local dealer for detailed information.
BTW, what distiller are you using?
Mine is an old DOL-FYN like this.