NeatImage is allowable for basic editing, it falls under this clause:
Any filter or stand-alone utility designed and used to preserve the integrity of the image and/or reduce the effects of noise, scratches, etc, are permitted
Also, the free version of neat image compresses the heck out of an image when you save. No control is given when saving. Noise Ware on the other hand allows you to set the jpeg quality before saving.
If you're going the free route I would try Noise Ware. If you're looking for a paid for program then Neat Image is one of the best and one of the versions can be used as a photoshop plugin.
I just triend a google search for noise ware and can't find it. Tried several different key words. help??? I use the free version of Neat Image and have been concerned about the compression.