Measuring volume is essentially a relative measurement. Assuming your model is accurate it just takes the differences in heights into account and totals up the changes. Adding known points won't make it more accurate since you don't care about absolute location precision, just how accurate it is relative to itself.
There is no need to collect oblique images for relatively simple forms like stockpiles. Your camera likely has a 94 degree field of view which means you are getting information at 47 degrees off of nadir.