You'd need to collect about 900 gigatons to return the atmosphere to preindustrial CO2 levels.
So, that's $90 trillion at US biomass production prices (assuming that much biomass was available) or 1.2x world annual gross world product [2].
Still $90 trillion seems like a lot.
[1] https://www.extension.purdue.edu/extmedia/EC/RE-3-W.pdf [2] https://en.wikipedia.org/wiki/Gross_world_product
But more importantly, and to your point, it is a carbon sink, and if made through gasification produces a carbon negative energy source.
Given US timber production and multiplying by five to get an estimate of global timber ... estimated fossil fuel resources are equal to about 200,000 years of global timber production.
That's a lot of wood.
Even if you're only looking at a small recoverable portion, say 10%, it's 20,000 years.
Energy translates reasonably well to carbon. There's some allowance for natural carbon sinks. But truth is we're messing with the carbon cycle in a huge way.
After transport, building materials are a large energy consumer. Coming up with alternatives to concrete, steel, aluminium, and similar materials, possibly though biologics, whether low-tech like wood, or self-forming biocrete and biobrick.
Paving, especially.
and a TED talk https://www.ted.com/talks/michael_green_why_we_should_build_...
What I'm pointing out is that energy is a means to some service goal, and in the case of construction, alternate means to ends may well obviate much the need for new energy supplies.
Or taking an alternate formulation: rather than tap energy and convert and store and transform it multiple times to accomplish some goal, employ biological means to achieve the same end with far fewer (loss-entailing) energy transforms.
Trees, plants, algae, and/or microbes, operating over a large area, accomplish a very large net throughput. The questions are whether we can manage that, what outputs are possible, at what rates, and what subsequent changes in capabilities result. I suspect no biologic will have, say, the capabilities of steel. If we're limited to masonry or ceramic-based structures, the age of the 100-storey supertower is gone, but there are a many 10-20 storey towers which might be possible, resulting in high urban densities, if that's what we want.
But this has all kinds of potential issues. The likely biggest one is that whatever you want to bury needs to be grown somewhere. It needs space where things can grow, that means space and soil that can't be used otherwise to grow food. If you cut down existing trees you're likely causing more emissions than you bury. If you create even stronger competition around fertile land you also create more carbon emissions through indirect landuse changes.
So yes, this is a potential option, but it needs to be carefully weighted against potential downsides.
There are some deep canyons in the Rockies where there are very high bridges and little meaningful waterway below. I'll bet you could fit a lot more than 1 Fresh Kills in some of them.
Coal trains run those tracks. American coal cars empty from the bottom. When the coal trains are empty in Wisconsin, Chicago, etc, they have to go back to the mines anyway. They can dump the biochar in a ravine en route. just need to remove a few ties and install the coal emptier.
Wood or coal, the corn trains and timber trains deliver to similar places. Build biomass energy facilities in those rail transportation hubs. Omaha, Kansas City, Fargo, the Twin Cities.
Of course it would make more sense to just leave the coal in the ground. But humans don't do well with static equilibrium.
And you can add it to the food price: this hamburger was made from stover-fed beef. And twice the animal's feedstock in biomass was burned in biomass plants, and the biochar was sequestered.
Omaha Steaks could sell 2x, 3x, 4x, and 10x beef.
It'll raise the price of beef.
Let's take Omaha. Omaha Steaks could sell carbon-negative beef if the USDA inspectors can certify that 2x the carbon went into biomass energy plants. It would create demand for 3x, 4x, and 10x beef.