Normally, cbr value is determined in specific moisture content and density which ensure certain needed state which is suitable to pavement design. In other moisture contenet and density you can reach higher CBR value, when considering more swelling . CBR value is number that you decide on when considering the desired behaviour of your subgrade. There is not one to one translation to bearing capacity because before you will place your foundation you will not be able to bring the soil to the relation between moisture content and density that are needed to get 1% cbr, because you will be need to compact the layer, moist it or dry it and it will be immpossible in small area.
If 1% cbr is your condition, I would be looking for soil exchange or deep foundation solution.