I think there may be some confusion here. A CID report is an investigation. It is not a finding of guilt or innocence.
Only a commander or a court can make a finding of guilt or innocence. The CID can give opinions...but only the jury or a commander at Art 15 can actually make a finding of guilt or innocence.
And the term suspended is a very specific term.
It means that you were found guilty and the punishment was suspended.
That is not the same as you were found not guilty.
If you were found not guilty, there would be nothing to suspend.
So if your punishment was suspended, the finding of the Art 15 was guilty...and there really is not much you can do about it now. You could apply to the Army Board of Records Corrections and attempt to get them to erase the guilty finding at Art 15...but at this point, unless you have clear evidence of your innocence, I think that will be tough to do...and that is not going to force CID to pull the record.
Sorry to have to bear bad news
Now...if your mistaken and this was not a suspension but a finding of not guilty? Then you could contact CID and request they change the NCIC report.
CID will make this change, if the report is wrong.
But I stress that suspension does not mean that the Art 15 found you not guilty...in fact it means the exact opposite.
What you may want to do at this point is request a copy of your record.
You can do that herehttp://www.archives.gov/veterans/military-service-records/
takes about a month...they send you a CD with your record on it.
MAKE SURE TO CHECK THE BOX TO REQUEST THE FULL RECORD AND NOT JUST THE DD214
Then you can see if the Art 15 is in there or not.