The low tech solution for scrubbing C02 from the atmosphere is to get more plants absorbing it and prevent the plant decomposition back to CO2 or even worse to methane. Some of the agricultural waste may be just buried in the fields helping to build the organic matter in the soil, but it would be hard to avoid any CH4 emissions doing it. Just check any landfill with buried organic matter and some sipping in water. One can try to use pyrolysis and get charcoal. This would not be 100% emissions free (CO, CO2, CH4 etc.).
The main problem with the above is that collecting wood/straw/etc. transporting and then processing it also requires energy, at least on land. Converting the millions of agro machines to run on batteries or hydrogen would not be carbon neutral either.
Supposedly if we fertilize patches of the oceans the dead algae will nicely sink to the bottom not to be release CO2 for centuries.