We can't really do much for you here, this is not an official support channel and while DH staffers occasionally stop by, they rarely post.
That said, "disabled" can mean many things. Some who have been around a while could share what we have seen in the past in these forums and possibly offer advice, but anything we might be able to tell you depends upon the circumstances of the disablement.
TOS or Abuse issues go to DH staff members who only deal with that, and general tech support staffers will not intervene - you will have to deal with the Abuse folks, and as there are fewer of them, the queue will be longer.
A billing problem related disablement (that is not a "fraud" issue) can often be handled by "rank and file" tech support staff, however.
You say "non-responsive" - does this mean you have had no communication from them at all? That would be very unusual. At the very least they almost always attempt to inform an account holder of any disablement, and that notification usually details what, if any, alternate communication channels will be responded to.
What is the domain involved in the disablement, and why was it disabled? WIth that information, many here could probably tell you what to expect (though they cannot speak for DreamHost unless they are identified as a DH staffer).
There is no phone number to contact DreamHost (even those with "voice support" options on their plans must accept a callback only - you cannot call them).