If the recycled asphalt is being combined with soil to create a stabilized base then it is possible to use a moisture-density relationship (Proctor), keeping in mind that the optimum moisture will be quite a bit lower than typical soil-aggregate mixtures, since the recycled asphalt does not absorb much moisture. If the end material is to be recycled asphalt as a graded aggregate base alone, then the moisture-density relationship will not work and another method must be used.
I would probably not rely on a Proctor test for anything above about 1/3 recycled asphalt in the mixture. Nothing magic about the 1/3, I just think that more than that inordinately throws off the moisture issue, thus making a moisture-density relationship impractical.
A modified Marshall method, similar to that used for recycled asphalt emulsion material would be a better option.
As for doing direct transmission testing in asphalt-laden material, you will have to do correlation testing to other volumetric density methods (sand cone preferably).