The processes disclosed herein are environmentally friendly technologies to produce biocarbon products with low water intensity as well as low carbon intensity. Some variations provide a low-water-intensity process for producing a biocarbon product, comprising: providing a starting feedstock compriseing biomass and water; drying the starting feedstock to generate a dried feedstock and a first vapor; pyrolyzing the dried feedstock to generate hot solids and a second vapor; condensing the first vapor to generate a first condensed liquid having a first pH from about 1 to about 7; condensing the second vapor to generate a second condensed liquid having a second pH from about 1 to about 7; forming acid water comprising the first condensed liquid, the second condensed liquid, or a mixture thereof; washing and cooling the hot solids using the acid water, to generate washed, cooled solids; and recovering the washed, cooled solids as a low-water-intensity biocarbon product.