I don't get enough sunlight in my area, so I would use solar only in an emergency. I live near San Francisco, CA. My energy company, PG&E charges $.28 kWh off peak and $.32-$.42 on-peak hours. My electric bill is usually $200 a month with 90% at higher $.32 kWh. I want to use my 12v, 105 ah lead acid deep cycle battery and a 2000 w pure sine inverter, to run some AC loads about 800w. But, I want to connect my battery to an 120v ac outlet (the grid) using my 10a battery charger. My battery charger "Input 120VAC 0.6A continuous, 3A Intermittent" and of course outputs 10amps. Would this be safe, doable and cost effective? To summarize: I want to use my 10amp battery charger inside the house to continuously charge my 12v, 100a, battery during my electrical peak hours (6 hours).