I am very sorry to learn of your brother's situation.
Unfortunately, the way in which you have asked your question makes it difficult for me to give you a legally correct answer.
Your brother was not deprived of his due process rights - he had a right to a hearing at the time he was cited. The fact that he did not address the citation in 1992 does not mean he is now entitled to a second hearing. So the state is entirely correct in denying him a hearing at this time.
You also say that "paying the fine is not an option" - your brother can refuse to pay the fine, but he will not be able to obtain a driver's license. (He may have been fortunate enough to have had a license issued in the past despite the outstanding citation, but once the state starts reporting his license as being suspended it is going to be impossible for him to renew or get a new license in any state with a suspension on his record).
So really, this is the only option if your brother wants to be a licensed driver.
The best alternative he can hope for is make a trip or hire a lawyer in VA to petition the court (the judge, not the clerk's office) for a payment plan, which usually comes with an added service charge or fee (so it ends up costing more money). But by the time he goes and does either of these, he will have been able to pay the entire $1,700.00 fine and not wasted either a trip or a lawyer's fee on a hearing that may or may not succeed.
I do understand that this situation must be very frustrating for your brother, but unfortunately the enforcement of the fine does not carry a statute of limitations, and until it is dealt with (meaning paid in full), his license will continue to be suspended. If he chooses to drive without a license or with a suspended license, he runs a risk of being cited for that offense as well, further complicating his situation.
Again, I am sorry if this is not the information you were hoping for, but I do hope that the explanation of the matter is helpful in some way.