oven is 2.6kW, hob is 6kW (induction), my panels are 455W each. I am in the process of switching battery tech to li-ion, but they dont like the high resistive

oven is 2.6kW, hob is 6kW (induction), my panels are 455W each. I am in the process of switching battery tech to li-ion, but they dont like the high resistive loads. I havent researched EV too much, but I cant imagine trying to charge 40kWh? I was tempted to stay grid-connected, but the max energy I can sell back, is limited to what grid energy I use. i.e. they still get all their extra fees.