This depends a lot on the quality of RAP. If the millings were from an old highly oxidized pavement, the resulting road will be similar to an aggregate base and will similarly dust and erode unless somehow treated, like with an asphalt prime coat (not tack coat). If the millings are less oxidized, typical of a highway paving project, after the material is placed and compacted and exposed to the heat of the sun for a while, the asphalt bonds the road together and there will be no dust and minimal erosion.
If some kind asphalt surface treatment is applied, use a lighter grade cutback asphalt, like MC-30 or MC-70, if it is permissible in your area. The key here is maximum penetration into the RAP. There are modern emulsions engineered for superior penetration as a prime coat, but they are merely trying to regain the kind of penetration that was normal when cutbacks were the standard for this use. Also, the solvent in the cutback will soften the asphalt in the RAP, bond it with the new asphalt in the cutback and bond the whole roadway surface together.
If you specify some kind of surface treatment, specify it must be placed within a few days of placement and compaction of the RAP - sooner the better. Once the asphalt in the RAP begins to fuse together, you won't get any penetration of your surface treatment no matter what product you spec.