Hello again Martin and thank you for your reply. It is just not the case that the VA, or the law, considers an OTH as a Dishonorable Discharge
. So, something else is going on here that I wish I could say with certainty what it is, but without your record and seeing what the VA has, I can't say. There is no instance when the VA considers an OTH as Dishonorable, which is what you would have to have to be denied VRAP, as long as you meet every one of the conditions I mentioned in my information request.
So, if your worst discharge is indeed a an OTH, and you otherwise meet all the other requirements, and have exhausted your appeal rights, then you will need to get a local attorney who handles military and Veteran cases, to intercede on your behalf, but writing a letter outlining the law and the facts, or by filing suit against the VA to force them to enroll you.
If you haven't already looked at the VRAP website, you can find it at: http://benefits.va.gov/vow/education.htm
Please let me know if you need any clarification. I would be glad to assist you further if I can.