You could pan lube them with a mix of about 50/50 LEE Liquid Alox and mineral spirits or alcohol. Warm the Alox a bit and put a little in an empty pie pan, add about the same amount of your thinner and mix them up. Just barely more than enough to cover the bottom of the pan is plenty.
Lay the REALS in the pan sidewise and roll them around until they pick up a fairly even coating of the lube mix. Take them out (with tweasers or similar) and stand them base down on a sheet of wax paper. Allow them to dry overnight. Put a small amount of baby powder in a plastic bag, add some of the lubed REALS, and shake them gently until they all wear a thin coating of the powder.
Advise you to do all this in the garage or an outbuilding - alox smells pretty ripe. The powder makes the bullets less tacky to the touch.