After adding the tuning knob and on request of a fellow builder, I checked the IFR current. The DVM read 16mA with a LCD without backlight. If you need a backlight then add the LED current, 10 to 20mA.
In cases where the power budget is strict, select an LCD that can be used in both cases (like the classic black/green) and add a switch for controlling backlight (or a trimpot).