With a 1k / 1.4k voltage divider you actually have less DC output resistance (583R) that that 680R resistor...
I would do the divider and parallel capacitor if possible... seems much simpler (less parts).
However, the cutoff frequency for the values you calculated is 273 Hz; much too high. Maybe use 100 uF instead.
Also seems a little borderline for 1/4 W resistors... might be good to bump them up to 1/2 W parts.