i use mine 24/7 just cuz i like to change the lighting timing at times and not worry about it. just watch your fish at night to make sure they are getting o2.
Plants don't use CO2 without lights. There's no reason to run CO2 at night. I have my solenoid set with my first set of lights. If you have adequate plant growth, there's no reason to worry about O2 levels. The plants will produce far more O2 than they will consume at night. IME, running an airstone at night (or at all) is far overrated - whether the tank is planted or not.
Put the CO2 on the timer with the lights. That way, even if you are changing the light timing, it changes the CO2 timing with the lights as well.
As for cost, CO2 isn't expensive. It costs me 15.00 to refill my 10lb bottle, and I get it refilled about every 9-10 months. Cheap hobby, lol. And my 20lb bottle even less often than that, lol. And it costs 22.00 to refill.