What exactly are you building (and how big is it), and how much would your design be affected if you assume φ is 36 degrees instead if 42 degrees? In other words, how much does a precisely determined friction angle matter?
Last things first:
Having a calculated FS of 1.5, it's rather unlikely that the actual FS could be 3, unless your stability analysis was not only conservative, but ridiculously conservative.
You will not be able to use Proctor tests on this material, and it is no small task to measure either the vibrated maximum density or the fill density with cobbles present, or even just large gravel. Think about whether you really need to quantify the density accurately, or if you can simply use a procedure spec, something along the lines of 50 cm lifts, each rolled by 4 passes of a ten-tonne vibratory smooth drum roller, with water applied on the fill as needed. Here is where a test fill is helpful by telling you whether the compaction has reached its limit with 4 passes or it needs 6(for example), whether additional passes would just break up the particles without accomplishing anything, whether a water hose helps, and things like that. Plus, it gives you an excuse to go out to the site and play with soil and machines. The test fill will need to be several lifts high, preferably two lanes wide, and long enough to replicate the actual placement techniques that will be used.
I don't think letting the stock pile age for a week is going to affect things much, unless there is a heavy rain that makes the slopes slough.
Depending on the shape of the particles, the angle of repose in stockpile may or may not give you a very good estimate of the angle of internal friction. If you put marbles in a drained triaxial test, they will give a pretty good φ, maybe 30 degrees or so. If you pour them out on the table, they roll away, angle of repose ~0. Rounded cobbles may segregate and roll when they are dumped onto a stock pile, and they can roll down fairly flat slopes if dislodged. On the other hand, if there is not a problem with rolling, and there is no capillarity or other "binder" present, the stock pile could give you a pretty good estimate of friction angle.
Bon chance!