I would be hesitant to advise the use of Hydrogen Peroxide in a soil grow as it is detrimental to both beneficial fungus and micro-organisms.
I know it adds O2, but it is also a sterilizing agent that kills the above Micro beasties.
As to the original question, don't allow the pots to sit in water, drain them well & adjust your watering schedule according to what the plant actually needs and not to any time schedule
GWN