Hi,
If you are trying to develop something for solvent recycling, the best practice would probably be to filter the DCM through a strong acid exchange resin. These are cheap, and are used at industrial scales. If you are just doing it as a lab exercise, then an aqueous acid was will work, but DCM doesn't split as well from water at low pH's, and even with an optimum split will hold on to about 2% water.
As you know, water azeotropes with DCM at 38 C in a 98:2 azeotrope. If you do a full water wash with aq HCl, you may be trapping more H2O in your DCM, and then have to waste more DCM while azeotroping water. I'd try hitting it with an acid resin (maybe a Dowex XW8 (H) resin washed w/ MeOH), and then distilling the liquid.
Hope this helps