I love elderberries! So many reasons to grow them, but that’s a LOT of elderberries!
Is there some reason you want all those separate trees? Elderberries self propagate by putting up new shoots, expanding outward from the center. You could have clumps of elderberries in the center of those depressions in the soil.
Another strategy is to just start a dozen future clumps and get to know everything you can about elderberries. In a few years you
should have transplantable shoots to fill in your field.
Broader depression of same gradual slope will yield deeper depression, funnel more water to the center, and make more room for a greater volume of chips.
I also, would avoid the use of tires and plastic. For the reason noted above, as well as the pollution factor of all plastics everywhere, both the resources used in their production, and the products of their decomposition.