Long wave IR, which as you know is what is returned to the surface from CO2 interference, is incapable of warming the oceans. That is KNOWN. So come up with a different mechanism to generate your heating.
Why the strawman?
You are a smart and educated man. Is it possible that you honestly don't understand my position after the hundreds of times that I have said that only the Sun heats the Earth surface? In dozens of ways?
Entropy (decay, increasing disorder) would be a lot easier for people to understand if we had a common word for the opposite (building up, increasing order). That is what makes life forms so amazing, they defy entropy at least for a short time.
Thermodynamics can be broken down into two types of processes. Passive, where every particle is trying to shed energy, every system is trying to shed heat in the most efficient way. And active, where an outside power source is adding energy and reversing entropy. There is of course a fuzzy boundary between the two. Is it new energy or just a redistribution of energy.
Ultimately, the Sun is our only power source (nuclear power on earth is just a remnant of a different star). Because the Earth is a spinning sphere it warms up roughly half the time and cools half the time. The surface is always passively trying to shed heat but it is only obvious to us when the Sun is not actively heating it. The surface is actually expelling more energy during the daylight heating phase, with a lag of course due to thermal inertia.
CO2 only effects the passive shedding of energy. It DOES NOT actively heat the surface, it reduces the surface passive cooling. There is no creation of extra energy, there is only a change in the distribution that leads to an accumulation energy in the atmosphere near the surface. This energy has just been 'borrowed' from space by not expelling it. Once equilibrium is again reached, the solar input matches terrestrial output again. The Earth's surface can have a wide range of average temperatures, and every one of them can be at equilibrium, it just depends on the conditions.
I think the total influence of CO2 from zero ppm to 400 ppm is probably about 8C. Extra CO2 has rapidly diminishing effect, but it still has an affect.