Many colleges do fill much of their class in ED (or EA; QB NCM is like a ranked ED), so that RD becomes more competitive simply because there are fewer spaces left. If you feel comfortable committing to more colleges in rank order, then it is likely to be favorable to rank them for QB NCM.
Also, if you do match, you get to find out early and be done with college applications.
However, you need to check on the cooperation of both parents for financial aid forms, or try to get decisions on the waivers early enough.