The amount of re-radiated LWIR, by CO2, is so small that it is negligible. I'm sorry that this conflicts with your religious beleif's but it is what it is..
Here it is again with my typos corrected. It is not negligible.
The equipartition principle requires that 2/9 of the CO2 energy is in a vibration mode.
At STP there are
1.012 x 10^22 CO2 molecules per cubic meter in air at 400ppm.
Number in excitation state 1.01 10^22 x 2/9 =
0.244 x 10^22
Even if a million collide and don't radiate, there would still be
0.244 x 10^16 CO2 molecules radiating per cubic meter.
The radiation is not limited to the surface. In fact the surface radiation adds to the above radiation that naturally occurs. If you do the math you will find that at 15 microns the radiation density of a cubic meter is over 100 Watts.
The problem is that all of those molecules are COLLIDING with other atmospheric molecules 30,000 times during the potential time the energy can reside before the dipole moment occurs and the photon is re-emitted. The odds are 30,000 to 1 that the energy will be lost kinetically to other molecules in our atmosphere. Water vapor alone, of just 36% relative humidity, will absorb all the energy, near surface, that CO2 can absorb and lose by collision at 1 atmosphere pressure. This leaves very little energy (less than 0.01%) that can be re-radiated by the CO2 molecule. This does not stop other molecules from emitting LWIR. Your potential of 100 watts, according to recent studies, is lost to convention and conduction in most of our atmosphere (roughly 86%).
Once that energy is carried away in water vapor, it will cool by 30 deg F in the first 150 meters, lowering its temperature and elongating the wave length of IR (greater than 16um) to the point that CO2 can do nothing to stop its loss to space. Water vapor is kicking CO2's ass and you folks cant see the forest due to the trees.
An experiment I ask you folks to do in a desert and again in a high water vapor region proves this out.
In a desert, the temp can start below freezing and sore to over 100 degrees by 10am. In four hours we can blow by the range of temperature a high water vapor region gets in a whole day. By 4pm it will be near 120 degrees. Once the sun sets, the cooling is rapid and we can be near freezing again in less than 4 hours as there is no atmospheric MASS (water vapor) to slow the energy release. The CO2 levels are nearly the same in both regions so it is ruled out by empirical experiment. The dry atmosphere can swing 90-110 degrees and the the water vapor laden atmosphere can only swing 70-80 degrees due to the weight/mass in that region, slowing both incoming and outgoing radiation.
This is basic atmospheric physics.. You folks have your noses so buried into complex computer models and calculations that your missing the very basic concepts that disprove your hypothesis.