I wouldn't mention your LACK of skills and emphasize your strengths. There are few "perfect" candidates out there and if you have all the other qualifications I think they will assume you aren't a half-wit and can learn anything else needed If they ask you directly about it, just be honest and say you are a quick study and proficient in related area's i.e. computer skills and that should suffice.
BTW I just took a Photoshop class online for $69 from my town Parks and Rec dept and it was great. Learn at your own pace etc. Maybe you could find something like that to give you at least preliminary knowledge.
As ES said, you can't apply too often. It shows a real interest and employers like that. I know if I saw the same resume come across my desk (assuming I remember it!) I'd eventually consider the candidate.
Good Luck!