Here are some figures on hb density worldwide

a density of 0.1 wild colonies per km 2 was recorded in northern Poland 
— Oleksa, A. et al. (2013) Rural avenues as a refuge for feral honey bee population. J. Insect Conserv. 17, 465–472

in the temperate forests of New York State 1.0 wild colonies per km2
— Seeley, T.D. (2007) Honey bees of the Arnot Forest. Apidologie 38, 19–29

in Africa up to 10.2 wild colonies per km2
— Jaffé, R. et al. (2010) Estimating the density of honeybee colonies. Conserv. Biol. 24, 583–593

For the US, we have only Seeley's census of the Arnot Forest. That site is 8 miles from where I live by bee-line. The woods there is very similar to the woods in my neighborhood: beech, maple, oak,, etc. 

PLB

source: Requier, F., Garnery, L., Kohl, P. L., Njovu, H. K., Pirk, C. W., Crewe, R. M., & Steffan-Dewenter, I. (2019). The conservation of native honey bees is crucial. Trends in ecology & evolution, 34(9), 789-798.

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