Taking in mind absorption rate by plants, I wonder if you could do a controlled release in somewhere like a rainforest such that a minimal amount would make it back into the atmosphere and a majority would be taken in by trees and plants. Alternatively build large green houses and vertical farms and pump it directly into there.
You could do that. It is how most fossil fuels got underground in the first place. OTOH if you have the ability and available energy to bury all of that plant matter, maybe you could instead just convert the CO2 directly to carbonate and skip the part with the plants.
If you have the energy to distill a large proportion of the earth's atmosphere you have enough to crack the O2 from the C and not mess with plants etc.
