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The disqualifier for Global Entry is, “Have been convicted of any criminal offense or have pending criminal charges or outstanding warrants (to include driving under the influence).”
And for TSA Pre Check it says, “An applicant will be disqualified if he or she was convicted, pled guilty (including ‘no contest’), or found not guilty by reason of insanity for any of the following felonies regardless of when they occurred.”
So it sounds like you shouldn’t have a problem if there were dismissed charges.
However, be aware that these agencies also have discretion, so if there is some way for them to find it, they could choose to deny the application.
I’m not sure if they would, but it isn’t impossible.
And a thing to consider – I’m pretty sure if you are disqualified you don’t pay the fee, because you didn’t get the service.